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Finding the Fourth Proportional to 16,347.43, 24,490.19 and 9,663.92

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Solution

The fourth proportional to 16,347.43, 24,490.19 and 9,663.92 is: 14,477.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.43 : 24,490.19 = 9,663.92 : x
  2. Step 2: Convert to fraction form
    16,347.43/24,490.19 = 9,663.92/x
  3. Step 3: Cross multiply
    16,347.43x = 24,490.19 × 9,663.92
  4. Step 4: Simplify right side
    16,347.43x = 236,671,138.65
  5. Step 5: Solve for x
    x = 236,671,138.65/16,347.43
  6. Step 6: Final answer
    x = 14,477.58

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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.