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Finding the Fourth Proportional to 19,706.71, 29,549.22 and 13,473.76

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Solution

The fourth proportional to 19,706.71, 29,549.22 and 13,473.76 is: 20,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,706.71 : 29,549.22 = 13,473.76 : x
  2. Step 2: Convert to fraction form
    19,706.71/29,549.22 = 13,473.76/x
  3. Step 3: Cross multiply
    19,706.71x = 29,549.22 × 13,473.76
  4. Step 4: Simplify right side
    19,706.71x = 398,139,098.47
  5. Step 5: Solve for x
    x = 398,139,098.47/19,706.71
  6. Step 6: Final answer
    x = 20,203.23

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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.