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Finding the Fourth Proportional to 16,487.34, 24,731 and 8,177.65

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Solution

The fourth proportional to 16,487.34, 24,731 and 8,177.65 is: 12,266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,487.34 : 24,731 = 8,177.65 : x
  2. Step 2: Convert to fraction form
    16,487.34/24,731 = 8,177.65/x
  3. Step 3: Cross multiply
    16,487.34x = 24,731 × 8,177.65
  4. Step 4: Simplify right side
    16,487.34x = 202,241,462.15
  5. Step 5: Solve for x
    x = 202,241,462.15/16,487.34
  6. Step 6: Final answer
    x = 12,266.47

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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.