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Finding the Fourth Proportional to 16,152.48, 24,214.05 and 5,761.80

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Solution

The fourth proportional to 16,152.48, 24,214.05 and 5,761.80 is: 8,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.48 : 24,214.05 = 5,761.80 : x
  2. Step 2: Convert to fraction form
    16,152.48/24,214.05 = 5,761.80/x
  3. Step 3: Cross multiply
    16,152.48x = 24,214.05 × 5,761.80
  4. Step 4: Simplify right side
    16,152.48x = 139,516,513.29
  5. Step 5: Solve for x
    x = 139,516,513.29/16,152.48
  6. Step 6: Final answer
    x = 8,637.47

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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.