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Finding the Fourth Proportional to 16,475.65, 24,708.67 and 9,454.46

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Solution

The fourth proportional to 16,475.65, 24,708.67 and 9,454.46 is: 14,178.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.65 : 24,708.67 = 9,454.46 : x
  2. Step 2: Convert to fraction form
    16,475.65/24,708.67 = 9,454.46/x
  3. Step 3: Cross multiply
    16,475.65x = 24,708.67 × 9,454.46
  4. Step 4: Simplify right side
    16,475.65x = 233,607,132.17
  5. Step 5: Solve for x
    x = 233,607,132.17/16,475.65
  6. Step 6: Final answer
    x = 14,178.93

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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.