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Finding the Fourth Proportional to 20,897.31, 28,838.05 and 11,465.88

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Solution

The fourth proportional to 20,897.31, 28,838.05 and 11,465.88 is: 15,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.31 : 28,838.05 = 11,465.88 : x
  2. Step 2: Convert to fraction form
    20,897.31/28,838.05 = 11,465.88/x
  3. Step 3: Cross multiply
    20,897.31x = 28,838.05 × 11,465.88
  4. Step 4: Simplify right side
    20,897.31x = 330,653,620.73
  5. Step 5: Solve for x
    x = 330,653,620.73/20,897.31
  6. Step 6: Final answer
    x = 15,822.78

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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.