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Finding the Fourth Proportional to 14,197.07, 21,279.47 and 8,638.17

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Solution

The fourth proportional to 14,197.07, 21,279.47 and 8,638.17 is: 12,947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,197.07 : 21,279.47 = 8,638.17 : x
  2. Step 2: Convert to fraction form
    14,197.07/21,279.47 = 8,638.17/x
  3. Step 3: Cross multiply
    14,197.07x = 21,279.47 × 8,638.17
  4. Step 4: Simplify right side
    14,197.07x = 183,815,636.18
  5. Step 5: Solve for x
    x = 183,815,636.18/14,197.07
  6. Step 6: Final answer
    x = 12,947.43

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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.