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Finding the Fourth Proportional to 23,125.38, 34,693.53 and 7,543

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Solution

The fourth proportional to 23,125.38, 34,693.53 and 7,543 is: 11,316.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125.38 : 34,693.53 = 7,543 : x
  2. Step 2: Convert to fraction form
    23,125.38/34,693.53 = 7,543/x
  3. Step 3: Cross multiply
    23,125.38x = 34,693.53 × 7,543
  4. Step 4: Simplify right side
    23,125.38x = 261,693,296.79
  5. Step 5: Solve for x
    x = 261,693,296.79/23,125.38
  6. Step 6: Final answer
    x = 11,316.28

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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.