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Finding the Fourth Proportional to 14,711.13, 20,318.03 and 9,697.62

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Solution

The fourth proportional to 14,711.13, 20,318.03 and 9,697.62 is: 13,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.13 : 20,318.03 = 9,697.62 : x
  2. Step 2: Convert to fraction form
    14,711.13/20,318.03 = 9,697.62/x
  3. Step 3: Cross multiply
    14,711.13x = 20,318.03 × 9,697.62
  4. Step 4: Simplify right side
    14,711.13x = 197,036,534.09
  5. Step 5: Solve for x
    x = 197,036,534.09/14,711.13
  6. Step 6: Final answer
    x = 13,393.70

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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.