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Finding the Fourth Proportional to 25,234.48, 37,859.12 and 7,465.61

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Solution

The fourth proportional to 25,234.48, 37,859.12 and 7,465.61 is: 11,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,234.48 : 37,859.12 = 7,465.61 : x
  2. Step 2: Convert to fraction form
    25,234.48/37,859.12 = 7,465.61/x
  3. Step 3: Cross multiply
    25,234.48x = 37,859.12 × 7,465.61
  4. Step 4: Simplify right side
    25,234.48x = 282,641,424.86
  5. Step 5: Solve for x
    x = 282,641,424.86/25,234.48
  6. Step 6: Final answer
    x = 11,200.60

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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.