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Finding the Fourth Proportional to 15,104.25, 22,694.64 and 9,560.19

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Solution

The fourth proportional to 15,104.25, 22,694.64 and 9,560.19 is: 14,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,104.25 : 22,694.64 = 9,560.19 : x
  2. Step 2: Convert to fraction form
    15,104.25/22,694.64 = 9,560.19/x
  3. Step 3: Cross multiply
    15,104.25x = 22,694.64 × 9,560.19
  4. Step 4: Simplify right side
    15,104.25x = 216,965,070.38
  5. Step 5: Solve for x
    x = 216,965,070.38/15,104.25
  6. Step 6: Final answer
    x = 14,364.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.