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Finding the Fourth Proportional to 24,298.05, 36,447 and 7,659.54

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Solution

The fourth proportional to 24,298.05, 36,447 and 7,659.54 is: 11,489.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,298.05 : 36,447 = 7,659.54 : x
  2. Step 2: Convert to fraction form
    24,298.05/36,447 = 7,659.54/x
  3. Step 3: Cross multiply
    24,298.05x = 36,447 × 7,659.54
  4. Step 4: Simplify right side
    24,298.05x = 279,167,254.38
  5. Step 5: Solve for x
    x = 279,167,254.38/24,298.05
  6. Step 6: Final answer
    x = 11,489.29

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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.