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Finding the Fourth Proportional to 24,161.28, 36,244.48 and 11,840

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Solution

The fourth proportional to 24,161.28, 36,244.48 and 11,840 is: 17,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,161.28 : 36,244.48 = 11,840 : x
  2. Step 2: Convert to fraction form
    24,161.28/36,244.48 = 11,840/x
  3. Step 3: Cross multiply
    24,161.28x = 36,244.48 × 11,840
  4. Step 4: Simplify right side
    24,161.28x = 429,134,643.20
  5. Step 5: Solve for x
    x = 429,134,643.20/24,161.28
  6. Step 6: Final answer
    x = 17,761.25

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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.