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Finding the Fourth Proportional to 24,157.50, 36,250.84 and 10,306.50

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Solution

The fourth proportional to 24,157.50, 36,250.84 and 10,306.50 is: 15,465.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.50 : 36,250.84 = 10,306.50 : x
  2. Step 2: Convert to fraction form
    24,157.50/36,250.84 = 10,306.50/x
  3. Step 3: Cross multiply
    24,157.50x = 36,250.84 × 10,306.50
  4. Step 4: Simplify right side
    24,157.50x = 373,619,282.46
  5. Step 5: Solve for x
    x = 373,619,282.46/24,157.50
  6. Step 6: Final answer
    x = 15,465.97

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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.