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Finding the Fourth Proportional to 24,148.86, 36,229.46 and 7,509.05

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Solution

The fourth proportional to 24,148.86, 36,229.46 and 7,509.05 is: 11,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.86 : 36,229.46 = 7,509.05 : x
  2. Step 2: Convert to fraction form
    24,148.86/36,229.46 = 7,509.05/x
  3. Step 3: Cross multiply
    24,148.86x = 36,229.46 × 7,509.05
  4. Step 4: Simplify right side
    24,148.86x = 272,048,607.92
  5. Step 5: Solve for x
    x = 272,048,607.92/24,148.86
  6. Step 6: Final answer
    x = 11,265.48

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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.