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Finding the Fourth Proportional to 20,685.17, 31,014.16 and 13,643.71

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Solution

The fourth proportional to 20,685.17, 31,014.16 and 13,643.71 is: 20,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.17 : 31,014.16 = 13,643.71 : x
  2. Step 2: Convert to fraction form
    20,685.17/31,014.16 = 13,643.71/x
  3. Step 3: Cross multiply
    20,685.17x = 31,014.16 × 13,643.71
  4. Step 4: Simplify right side
    20,685.17x = 423,148,093.29
  5. Step 5: Solve for x
    x = 423,148,093.29/20,685.17
  6. Step 6: Final answer
    x = 20,456.59

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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.