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Finding the Fourth Proportional to 24,301.38, 36,455.70 and 7,659.66

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Solution

The fourth proportional to 24,301.38, 36,455.70 and 7,659.66 is: 11,490.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,301.38 : 36,455.70 = 7,659.66 : x
  2. Step 2: Convert to fraction form
    24,301.38/36,455.70 = 7,659.66/x
  3. Step 3: Cross multiply
    24,301.38x = 36,455.70 × 7,659.66
  4. Step 4: Simplify right side
    24,301.38x = 279,238,267.06
  5. Step 5: Solve for x
    x = 279,238,267.06/24,301.38
  6. Step 6: Final answer
    x = 11,490.63

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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.