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Finding the Fourth Proportional to 14,977.40, 22,482.30 and 8,416.40

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Solution

The fourth proportional to 14,977.40, 22,482.30 and 8,416.40 is: 12,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977.40 : 22,482.30 = 8,416.40 : x
  2. Step 2: Convert to fraction form
    14,977.40/22,482.30 = 8,416.40/x
  3. Step 3: Cross multiply
    14,977.40x = 22,482.30 × 8,416.40
  4. Step 4: Simplify right side
    14,977.40x = 189,220,029.72
  5. Step 5: Solve for x
    x = 189,220,029.72/14,977.40
  6. Step 6: Final answer
    x = 12,633.70

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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.