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Finding the Fourth Proportional to 22,487.68, 33,739.20 and 11,536

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Solution

The fourth proportional to 22,487.68, 33,739.20 and 11,536 is: 17,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,487.68 : 33,739.20 = 11,536 : x
  2. Step 2: Convert to fraction form
    22,487.68/33,739.20 = 11,536/x
  3. Step 3: Cross multiply
    22,487.68x = 33,739.20 × 11,536
  4. Step 4: Simplify right side
    22,487.68x = 389,215,411.20
  5. Step 5: Solve for x
    x = 389,215,411.20/22,487.68
  6. Step 6: Final answer
    x = 17,307.94

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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.