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Finding the Fourth Proportional to 14,854.14, 22,272.90 and 6,095.20

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Solution

The fourth proportional to 14,854.14, 22,272.90 and 6,095.20 is: 9,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,854.14 : 22,272.90 = 6,095.20 : x
  2. Step 2: Convert to fraction form
    14,854.14/22,272.90 = 6,095.20/x
  3. Step 3: Cross multiply
    14,854.14x = 22,272.90 × 6,095.20
  4. Step 4: Simplify right side
    14,854.14x = 135,757,780.08
  5. Step 5: Solve for x
    x = 135,757,780.08/14,854.14
  6. Step 6: Final answer
    x = 9,139.39

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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.