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Finding the Fourth Proportional to 22,823.74, 31,375.84 and 19,625.32

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Solution

The fourth proportional to 22,823.74, 31,375.84 and 19,625.32 is: 26,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,823.74 : 31,375.84 = 19,625.32 : x
  2. Step 2: Convert to fraction form
    22,823.74/31,375.84 = 19,625.32/x
  3. Step 3: Cross multiply
    22,823.74x = 31,375.84 × 19,625.32
  4. Step 4: Simplify right side
    22,823.74x = 615,760,772.77
  5. Step 5: Solve for x
    x = 615,760,772.77/22,823.74
  6. Step 6: Final answer
    x = 26,978.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.