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Finding the Fourth Proportional to 15,614.73, 23,363.78 and 9,044.01

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Solution

The fourth proportional to 15,614.73, 23,363.78 and 9,044.01 is: 13,532.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.73 : 23,363.78 = 9,044.01 : x
  2. Step 2: Convert to fraction form
    15,614.73/23,363.78 = 9,044.01/x
  3. Step 3: Cross multiply
    15,614.73x = 23,363.78 × 9,044.01
  4. Step 4: Simplify right side
    15,614.73x = 211,302,214.74
  5. Step 5: Solve for x
    x = 211,302,214.74/15,614.73
  6. Step 6: Final answer
    x = 13,532.24

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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.