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Finding the Fourth Proportional to 14,843.25, 22,264.80 and 6,078.17

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Solution

The fourth proportional to 14,843.25, 22,264.80 and 6,078.17 is: 9,117.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,843.25 : 22,264.80 = 6,078.17 : x
  2. Step 2: Convert to fraction form
    14,843.25/22,264.80 = 6,078.17/x
  3. Step 3: Cross multiply
    14,843.25x = 22,264.80 × 6,078.17
  4. Step 4: Simplify right side
    14,843.25x = 135,329,128.09
  5. Step 5: Solve for x
    x = 135,329,128.09/14,843.25
  6. Step 6: Final answer
    x = 9,117.22

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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.