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Finding the Fourth Proportional to 12,404.72, 17,120.54 and 9,576.20

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Solution

The fourth proportional to 12,404.72, 17,120.54 and 9,576.20 is: 13,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,404.72 : 17,120.54 = 9,576.20 : x
  2. Step 2: Convert to fraction form
    12,404.72/17,120.54 = 9,576.20/x
  3. Step 3: Cross multiply
    12,404.72x = 17,120.54 × 9,576.20
  4. Step 4: Simplify right side
    12,404.72x = 163,949,715.15
  5. Step 5: Solve for x
    x = 163,949,715.15/12,404.72
  6. Step 6: Final answer
    x = 13,216.72

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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.