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Finding the Fourth Proportional to 25,440, 38,161.92 and 9,024

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Solution

The fourth proportional to 25,440, 38,161.92 and 9,024 is: 13,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,440 : 38,161.92 = 9,024 : x
  2. Step 2: Convert to fraction form
    25,440/38,161.92 = 9,024/x
  3. Step 3: Cross multiply
    25,440x = 38,161.92 × 9,024
  4. Step 4: Simplify right side
    25,440x = 344,373,166.08
  5. Step 5: Solve for x
    x = 344,373,166.08/25,440
  6. Step 6: Final answer
    x = 13,536.68

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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.