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Finding the Fourth Proportional to 21,838.71, 32,734.35 and 14,339.13

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Solution

The fourth proportional to 21,838.71, 32,734.35 and 14,339.13 is: 21,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.71 : 32,734.35 = 14,339.13 : x
  2. Step 2: Convert to fraction form
    21,838.71/32,734.35 = 14,339.13/x
  3. Step 3: Cross multiply
    21,838.71x = 32,734.35 × 14,339.13
  4. Step 4: Simplify right side
    21,838.71x = 469,382,100.12
  5. Step 5: Solve for x
    x = 469,382,100.12/21,838.71
  6. Step 6: Final answer
    x = 21,493.12

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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.