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Finding the Fourth Proportional to 19,542.47, 29,315.66 and 5,502.47

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Solution

The fourth proportional to 19,542.47, 29,315.66 and 5,502.47 is: 8,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,542.47 : 29,315.66 = 5,502.47 : x
  2. Step 2: Convert to fraction form
    19,542.47/29,315.66 = 5,502.47/x
  3. Step 3: Cross multiply
    19,542.47x = 29,315.66 × 5,502.47
  4. Step 4: Simplify right side
    19,542.47x = 161,308,365.59
  5. Step 5: Solve for x
    x = 161,308,365.59/19,542.47
  6. Step 6: Final answer
    x = 8,254.25

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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.