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Finding the Fourth Proportional to 15,143.50, 22,715.45 and 4,755.25

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Solution

The fourth proportional to 15,143.50, 22,715.45 and 4,755.25 is: 7,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,143.50 : 22,715.45 = 4,755.25 : x
  2. Step 2: Convert to fraction form
    15,143.50/22,715.45 = 4,755.25/x
  3. Step 3: Cross multiply
    15,143.50x = 22,715.45 × 4,755.25
  4. Step 4: Simplify right side
    15,143.50x = 108,017,643.61
  5. Step 5: Solve for x
    x = 108,017,643.61/15,143.50
  6. Step 6: Final answer
    x = 7,132.94

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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.