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Finding the Fourth Proportional to 17,828.38, 24,603.17 and 9,762.55

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Solution

The fourth proportional to 17,828.38, 24,603.17 and 9,762.55 is: 13,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828.38 : 24,603.17 = 9,762.55 : x
  2. Step 2: Convert to fraction form
    17,828.38/24,603.17 = 9,762.55/x
  3. Step 3: Cross multiply
    17,828.38x = 24,603.17 × 9,762.55
  4. Step 4: Simplify right side
    17,828.38x = 240,189,551.34
  5. Step 5: Solve for x
    x = 240,189,551.34/17,828.38
  6. Step 6: Final answer
    x = 13,472.31

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Why These Related Problems?

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