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Finding the Fourth Proportional to 16,148.79, 24,234.26 and 6,288.12

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Solution

The fourth proportional to 16,148.79, 24,234.26 and 6,288.12 is: 9,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.79 : 24,234.26 = 6,288.12 : x
  2. Step 2: Convert to fraction form
    16,148.79/24,234.26 = 6,288.12/x
  3. Step 3: Cross multiply
    16,148.79x = 24,234.26 × 6,288.12
  4. Step 4: Simplify right side
    16,148.79x = 152,387,903.55
  5. Step 5: Solve for x
    x = 152,387,903.55/16,148.79
  6. Step 6: Final answer
    x = 9,436.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.