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Finding the Fourth Proportional to 24,932.84, 37,405.40 and 7,402.64

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Solution

The fourth proportional to 24,932.84, 37,405.40 and 7,402.64 is: 11,105.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932.84 : 37,405.40 = 7,402.64 : x
  2. Step 2: Convert to fraction form
    24,932.84/37,405.40 = 7,402.64/x
  3. Step 3: Cross multiply
    24,932.84x = 37,405.40 × 7,402.64
  4. Step 4: Simplify right side
    24,932.84x = 276,898,710.26
  5. Step 5: Solve for x
    x = 276,898,710.26/24,932.84
  6. Step 6: Final answer
    x = 11,105.78

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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.