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Finding the Fourth Proportional to 14,843.25, 22,265.58 and 8,264.49

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Solution

The fourth proportional to 14,843.25, 22,265.58 and 8,264.49 is: 12,397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.25 : 22,265.58 = 8,264.49 : x
  2. Step 2: Convert to fraction form
    14,843.25/22,265.58 = 8,264.49/x
  3. Step 3: Cross multiply
    14,843.25x = 22,265.58 × 8,264.49
  4. Step 4: Simplify right side
    14,843.25x = 184,013,663.25
  5. Step 5: Solve for x
    x = 184,013,663.25/14,843.25
  6. Step 6: Final answer
    x = 12,397.13

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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.