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Finding the Fourth Proportional to 24,802.83, 34,228.16 and 13,472.54

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Solution

The fourth proportional to 24,802.83, 34,228.16 and 13,472.54 is: 18,592.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,802.83 : 34,228.16 = 13,472.54 : x
  2. Step 2: Convert to fraction form
    24,802.83/34,228.16 = 13,472.54/x
  3. Step 3: Cross multiply
    24,802.83x = 34,228.16 × 13,472.54
  4. Step 4: Simplify right side
    24,802.83x = 461,140,187.36
  5. Step 5: Solve for x
    x = 461,140,187.36/24,802.83
  6. Step 6: Final answer
    x = 18,592.24

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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.