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Finding the Fourth Proportional to 16,738.60, 25,107.90 and 9,711.40

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Solution

The fourth proportional to 16,738.60, 25,107.90 and 9,711.40 is: 14,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.60 : 25,107.90 = 9,711.40 : x
  2. Step 2: Convert to fraction form
    16,738.60/25,107.90 = 9,711.40/x
  3. Step 3: Cross multiply
    16,738.60x = 25,107.90 × 9,711.40
  4. Step 4: Simplify right side
    16,738.60x = 243,832,860.06
  5. Step 5: Solve for x
    x = 243,832,860.06/16,738.60
  6. Step 6: Final answer
    x = 14,567.10

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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.