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Finding the Fourth Proportional to 24,503.50, 36,755.25 and 10,652.50

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Solution

The fourth proportional to 24,503.50, 36,755.25 and 10,652.50 is: 15,978.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.50 : 36,755.25 = 10,652.50 : x
  2. Step 2: Convert to fraction form
    24,503.50/36,755.25 = 10,652.50/x
  3. Step 3: Cross multiply
    24,503.50x = 36,755.25 × 10,652.50
  4. Step 4: Simplify right side
    24,503.50x = 391,535,300.63
  5. Step 5: Solve for x
    x = 391,535,300.63/24,503.50
  6. Step 6: Final answer
    x = 15,978.75

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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.