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Finding the Fourth Proportional to 21,713.15, 29,959.29 and 13,219.71

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Solution

The fourth proportional to 21,713.15, 29,959.29 and 13,219.71 is: 18,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.15 : 29,959.29 = 13,219.71 : x
  2. Step 2: Convert to fraction form
    21,713.15/29,959.29 = 13,219.71/x
  3. Step 3: Cross multiply
    21,713.15x = 29,959.29 × 13,219.71
  4. Step 4: Simplify right side
    21,713.15x = 396,053,125.61
  5. Step 5: Solve for x
    x = 396,053,125.61/21,713.15
  6. Step 6: Final answer
    x = 18,240.25

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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.