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Finding the Fourth Proportional to 15,700.20, 21,660.90 and 9,729.69

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Solution

The fourth proportional to 15,700.20, 21,660.90 and 9,729.69 is: 13,423.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,700.20 : 21,660.90 = 9,729.69 : x
  2. Step 2: Convert to fraction form
    15,700.20/21,660.90 = 9,729.69/x
  3. Step 3: Cross multiply
    15,700.20x = 21,660.90 × 9,729.69
  4. Step 4: Simplify right side
    15,700.20x = 210,753,842.12
  5. Step 5: Solve for x
    x = 210,753,842.12/15,700.20
  6. Step 6: Final answer
    x = 13,423.64

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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.