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Finding the Fourth Proportional to 14,432.46, 21,617.10 and 8,576.16

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Solution

The fourth proportional to 14,432.46, 21,617.10 and 8,576.16 is: 12,845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.46 : 21,617.10 = 8,576.16 : x
  2. Step 2: Convert to fraction form
    14,432.46/21,617.10 = 8,576.16/x
  3. Step 3: Cross multiply
    14,432.46x = 21,617.10 × 8,576.16
  4. Step 4: Simplify right side
    14,432.46x = 185,391,708.34
  5. Step 5: Solve for x
    x = 185,391,708.34/14,432.46
  6. Step 6: Final answer
    x = 12,845.47

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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.