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Finding the Fourth Proportional to 22,758.13, 34,113.74 and 8,714.32

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Solution

The fourth proportional to 22,758.13, 34,113.74 and 8,714.32 is: 13,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.13 : 34,113.74 = 8,714.32 : x
  2. Step 2: Convert to fraction form
    22,758.13/34,113.74 = 8,714.32/x
  3. Step 3: Cross multiply
    22,758.13x = 34,113.74 × 8,714.32
  4. Step 4: Simplify right side
    22,758.13x = 297,277,832.62
  5. Step 5: Solve for x
    x = 297,277,832.62/22,758.13
  6. Step 6: Final answer
    x = 13,062.49

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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.