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Finding the Fourth Proportional to 20,414, 28,182.84 and 15,437.36

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Solution

The fourth proportional to 20,414, 28,182.84 and 15,437.36 is: 21,312.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,414 : 28,182.84 = 15,437.36 : x
  2. Step 2: Convert to fraction form
    20,414/28,182.84 = 15,437.36/x
  3. Step 3: Cross multiply
    20,414x = 28,182.84 × 15,437.36
  4. Step 4: Simplify right side
    20,414x = 435,068,646.90
  5. Step 5: Solve for x
    x = 435,068,646.90/20,414
  6. Step 6: Final answer
    x = 21,312.27

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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.