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Finding the Fourth Proportional to 22,832.88, 31,508.11 and 12,759.32

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Solution

The fourth proportional to 22,832.88, 31,508.11 and 12,759.32 is: 17,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.88 : 31,508.11 = 12,759.32 : x
  2. Step 2: Convert to fraction form
    22,832.88/31,508.11 = 12,759.32/x
  3. Step 3: Cross multiply
    22,832.88x = 31,508.11 × 12,759.32
  4. Step 4: Simplify right side
    22,832.88x = 402,021,868.65
  5. Step 5: Solve for x
    x = 402,021,868.65/22,832.88
  6. Step 6: Final answer
    x = 17,607.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.