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Finding the Fourth Proportional to 20,591.47, 28,415.47 and 11,159.83

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Solution

The fourth proportional to 20,591.47, 28,415.47 and 11,159.83 is: 15,400.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.47 : 28,415.47 = 11,159.83 : x
  2. Step 2: Convert to fraction form
    20,591.47/28,415.47 = 11,159.83/x
  3. Step 3: Cross multiply
    20,591.47x = 28,415.47 × 11,159.83
  4. Step 4: Simplify right side
    20,591.47x = 317,111,758.77
  5. Step 5: Solve for x
    x = 317,111,758.77/20,591.47
  6. Step 6: Final answer
    x = 15,400.15

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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.