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Finding the Fourth Proportional to 15,044, 22,576.24 and 9,044.96

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Solution

The fourth proportional to 15,044, 22,576.24 and 9,044.96 is: 13,573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,044 : 22,576.24 = 9,044.96 : x
  2. Step 2: Convert to fraction form
    15,044/22,576.24 = 9,044.96/x
  3. Step 3: Cross multiply
    15,044x = 22,576.24 × 9,044.96
  4. Step 4: Simplify right side
    15,044x = 204,201,187.75
  5. Step 5: Solve for x
    x = 204,201,187.75/15,044
  6. Step 6: Final answer
    x = 13,573.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.