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Finding the Fourth Proportional to 15,294.64, 22,934.92 and 6,054.32

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Solution

The fourth proportional to 15,294.64, 22,934.92 and 6,054.32 is: 9,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,294.64 : 22,934.92 = 6,054.32 : x
  2. Step 2: Convert to fraction form
    15,294.64/22,934.92 = 6,054.32/x
  3. Step 3: Cross multiply
    15,294.64x = 22,934.92 × 6,054.32
  4. Step 4: Simplify right side
    15,294.64x = 138,855,344.85
  5. Step 5: Solve for x
    x = 138,855,344.85/15,294.64
  6. Step 6: Final answer
    x = 9,078.69

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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.