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Finding the Fourth Proportional to 21,034.20, 29,041.74 and 13,080

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Solution

The fourth proportional to 21,034.20, 29,041.74 and 13,080 is: 18,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.20 : 29,041.74 = 13,080 : x
  2. Step 2: Convert to fraction form
    21,034.20/29,041.74 = 13,080/x
  3. Step 3: Cross multiply
    21,034.20x = 29,041.74 × 13,080
  4. Step 4: Simplify right side
    21,034.20x = 379,865,959.20
  5. Step 5: Solve for x
    x = 379,865,959.20/21,034.20
  6. Step 6: Final answer
    x = 18,059.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.