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Finding the Fourth Proportional to 14,264.71, 21,387.49 and 12,780.28

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Solution

The fourth proportional to 14,264.71, 21,387.49 and 12,780.28 is: 19,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.71 : 21,387.49 = 12,780.28 : x
  2. Step 2: Convert to fraction form
    14,264.71/21,387.49 = 12,780.28/x
  3. Step 3: Cross multiply
    14,264.71x = 21,387.49 × 12,780.28
  4. Step 4: Simplify right side
    14,264.71x = 273,338,177.37
  5. Step 5: Solve for x
    x = 273,338,177.37/14,264.71
  6. Step 6: Final answer
    x = 19,161.85

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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.