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Finding the Fourth Proportional to 24,253.64, 36,380.94 and 10,402.76

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Solution

The fourth proportional to 24,253.64, 36,380.94 and 10,402.76 is: 15,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,253.64 : 36,380.94 = 10,402.76 : x
  2. Step 2: Convert to fraction form
    24,253.64/36,380.94 = 10,402.76/x
  3. Step 3: Cross multiply
    24,253.64x = 36,380.94 × 10,402.76
  4. Step 4: Simplify right side
    24,253.64x = 378,462,187.39
  5. Step 5: Solve for x
    x = 378,462,187.39/24,253.64
  6. Step 6: Final answer
    x = 15,604.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.