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Finding the Fourth Proportional to 19,708.71, 29,552.22 and 13,475.76

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Solution

The fourth proportional to 19,708.71, 29,552.22 and 13,475.76 is: 20,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,708.71 : 29,552.22 = 13,475.76 : x
  2. Step 2: Convert to fraction form
    19,708.71/29,552.22 = 13,475.76/x
  3. Step 3: Cross multiply
    19,708.71x = 29,552.22 × 13,475.76
  4. Step 4: Simplify right side
    19,708.71x = 398,238,624.19
  5. Step 5: Solve for x
    x = 398,238,624.19/19,708.71
  6. Step 6: Final answer
    x = 20,206.22

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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.