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Finding the Fourth Proportional to 24,233.60, 36,350.40 and 7,595

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Solution

The fourth proportional to 24,233.60, 36,350.40 and 7,595 is: 11,392.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,233.60 : 36,350.40 = 7,595 : x
  2. Step 2: Convert to fraction form
    24,233.60/36,350.40 = 7,595/x
  3. Step 3: Cross multiply
    24,233.60x = 36,350.40 × 7,595
  4. Step 4: Simplify right side
    24,233.60x = 276,081,288
  5. Step 5: Solve for x
    x = 276,081,288/24,233.60
  6. Step 6: Final answer
    x = 11,392.50

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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.