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Finding the Fourth Proportional to 25,032.58, 37,542.93 and 9,229.02

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Solution

The fourth proportional to 25,032.58, 37,542.93 and 9,229.02 is: 13,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032.58 : 37,542.93 = 9,229.02 : x
  2. Step 2: Convert to fraction form
    25,032.58/37,542.93 = 9,229.02/x
  3. Step 3: Cross multiply
    25,032.58x = 37,542.93 × 9,229.02
  4. Step 4: Simplify right side
    25,032.58x = 346,484,405.68
  5. Step 5: Solve for x
    x = 346,484,405.68/25,032.58
  6. Step 6: Final answer
    x = 13,841.34

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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.