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Finding the Fourth Proportional to 25,820.52, 38,737.24 and 7,352.52

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Solution

The fourth proportional to 25,820.52, 38,737.24 and 7,352.52 is: 11,030.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,820.52 : 38,737.24 = 7,352.52 : x
  2. Step 2: Convert to fraction form
    25,820.52/38,737.24 = 7,352.52/x
  3. Step 3: Cross multiply
    25,820.52x = 38,737.24 × 7,352.52
  4. Step 4: Simplify right side
    25,820.52x = 284,816,331.84
  5. Step 5: Solve for x
    x = 284,816,331.84/25,820.52
  6. Step 6: Final answer
    x = 11,030.62

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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.