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Finding the Fourth Proportional to 20,077.47, 27,681.71 and 12,894.70

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Solution

The fourth proportional to 20,077.47, 27,681.71 and 12,894.70 is: 17,778.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,077.47 : 27,681.71 = 12,894.70 : x
  2. Step 2: Convert to fraction form
    20,077.47/27,681.71 = 12,894.70/x
  3. Step 3: Cross multiply
    20,077.47x = 27,681.71 × 12,894.70
  4. Step 4: Simplify right side
    20,077.47x = 356,947,378.17
  5. Step 5: Solve for x
    x = 356,947,378.17/20,077.47
  6. Step 6: Final answer
    x = 17,778.51

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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.