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Finding the Fourth Proportional to 24,885.76, 37,308.48 and 9,301.12

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Solution

The fourth proportional to 24,885.76, 37,308.48 and 9,301.12 is: 13,944.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885.76 : 37,308.48 = 9,301.12 : x
  2. Step 2: Convert to fraction form
    24,885.76/37,308.48 = 9,301.12/x
  3. Step 3: Cross multiply
    24,885.76x = 37,308.48 × 9,301.12
  4. Step 4: Simplify right side
    24,885.76x = 347,010,649.50
  5. Step 5: Solve for x
    x = 347,010,649.50/24,885.76
  6. Step 6: Final answer
    x = 13,944.15

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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.