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Finding the Fourth Proportional to 14,089.64, 21,138.92 and 6,700.42

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Solution

The fourth proportional to 14,089.64, 21,138.92 and 6,700.42 is: 10,052.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.64 : 21,138.92 = 6,700.42 : x
  2. Step 2: Convert to fraction form
    14,089.64/21,138.92 = 6,700.42/x
  3. Step 3: Cross multiply
    14,089.64x = 21,138.92 × 6,700.42
  4. Step 4: Simplify right side
    14,089.64x = 141,639,503.15
  5. Step 5: Solve for x
    x = 141,639,503.15/14,089.64
  6. Step 6: Final answer
    x = 10,052.74

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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.