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Finding the Fourth Proportional to 25,233, 37,849.37 and 7,702.58

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Solution

The fourth proportional to 25,233, 37,849.37 and 7,702.58 is: 11,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,233 : 37,849.37 = 7,702.58 : x
  2. Step 2: Convert to fraction form
    25,233/37,849.37 = 7,702.58/x
  3. Step 3: Cross multiply
    25,233x = 37,849.37 × 7,702.58
  4. Step 4: Simplify right side
    25,233x = 291,537,572.61
  5. Step 5: Solve for x
    x = 291,537,572.61/25,233
  6. Step 6: Final answer
    x = 11,553.82

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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.