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Finding the Fourth Proportional to 21,838.68, 32,765.04 and 10,159.56

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Solution

The fourth proportional to 21,838.68, 32,765.04 and 10,159.56 is: 15,242.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.68 : 32,765.04 = 10,159.56 : x
  2. Step 2: Convert to fraction form
    21,838.68/32,765.04 = 10,159.56/x
  3. Step 3: Cross multiply
    21,838.68x = 32,765.04 × 10,159.56
  4. Step 4: Simplify right side
    21,838.68x = 332,878,389.78
  5. Step 5: Solve for x
    x = 332,878,389.78/21,838.68
  6. Step 6: Final answer
    x = 15,242.61

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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.