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Finding the Fourth Proportional to 24,802.86, 34,228.32 and 13,472.58

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Solution

The fourth proportional to 24,802.86, 34,228.32 and 13,472.58 is: 18,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.86 : 34,228.32 = 13,472.58 : x
  2. Step 2: Convert to fraction form
    24,802.86/34,228.32 = 13,472.58/x
  3. Step 3: Cross multiply
    24,802.86x = 34,228.32 × 13,472.58
  4. Step 4: Simplify right side
    24,802.86x = 461,143,779.47
  5. Step 5: Solve for x
    x = 461,143,779.47/24,802.86
  6. Step 6: Final answer
    x = 18,592.36

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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.