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Finding the Fourth Proportional to 22,924.88, 31,639.88 and 12,857.39

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Solution

The fourth proportional to 22,924.88, 31,639.88 and 12,857.39 is: 17,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,924.88 : 31,639.88 = 12,857.39 : x
  2. Step 2: Convert to fraction form
    22,924.88/31,639.88 = 12,857.39/x
  3. Step 3: Cross multiply
    22,924.88x = 31,639.88 × 12,857.39
  4. Step 4: Simplify right side
    22,924.88x = 406,806,276.71
  5. Step 5: Solve for x
    x = 406,806,276.71/22,924.88
  6. Step 6: Final answer
    x = 17,745.19

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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.