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Finding the Fourth Proportional to 15,403.14, 23,104.68 and 6,169.14

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Solution

The fourth proportional to 15,403.14, 23,104.68 and 6,169.14 is: 9,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,403.14 : 23,104.68 = 6,169.14 : x
  2. Step 2: Convert to fraction form
    15,403.14/23,104.68 = 6,169.14/x
  3. Step 3: Cross multiply
    15,403.14x = 23,104.68 × 6,169.14
  4. Step 4: Simplify right side
    15,403.14x = 142,536,005.58
  5. Step 5: Solve for x
    x = 142,536,005.58/15,403.14
  6. Step 6: Final answer
    x = 9,253.70

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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.