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Finding the Fourth Proportional to 14,727.09, 20,313 and 9,689.70

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Solution

The fourth proportional to 14,727.09, 20,313 and 9,689.70 is: 13,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.09 : 20,313 = 9,689.70 : x
  2. Step 2: Convert to fraction form
    14,727.09/20,313 = 9,689.70/x
  3. Step 3: Cross multiply
    14,727.09x = 20,313 × 9,689.70
  4. Step 4: Simplify right side
    14,727.09x = 196,826,876.10
  5. Step 5: Solve for x
    x = 196,826,876.10/14,727.09
  6. Step 6: Final answer
    x = 13,364.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.