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Finding the Fourth Proportional to 14,000,314.10, 21,000,471.15 and 12,565,423.40

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Solution

The fourth proportional to 14,000,314.10, 21,000,471.15 and 12,565,423.40 is: 18,848,135.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000,314.10 : 21,000,471.15 = 12,565,423.40 : x
  2. Step 2: Convert to fraction form
    14,000,314.10/21,000,471.15 = 12,565,423.40/x
  3. Step 3: Cross multiply
    14,000,314.10x = 21,000,471.15 × 12,565,423.40
  4. Step 4: Simplify right side
    14,000,314.10x = 263,879,811,599,234.91
  5. Step 5: Solve for x
    x = 263,879,811,599,234.91/14,000,314.10
  6. Step 6: Final answer
    x = 18,848,135.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.