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Finding the Fourth Proportional to 16,576.24, 22,875.02 and 9,861.76

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Solution

The fourth proportional to 16,576.24, 22,875.02 and 9,861.76 is: 13,609.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,576.24 : 22,875.02 = 9,861.76 : x
  2. Step 2: Convert to fraction form
    16,576.24/22,875.02 = 9,861.76/x
  3. Step 3: Cross multiply
    16,576.24x = 22,875.02 × 9,861.76
  4. Step 4: Simplify right side
    16,576.24x = 225,587,957.24
  5. Step 5: Solve for x
    x = 225,587,957.24/16,576.24
  6. Step 6: Final answer
    x = 13,609.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.