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Finding the Fourth Proportional to 22,655.16, 31,264.54 and 12,584.54

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Solution

The fourth proportional to 22,655.16, 31,264.54 and 12,584.54 is: 17,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.16 : 31,264.54 = 12,584.54 : x
  2. Step 2: Convert to fraction form
    22,655.16/31,264.54 = 12,584.54/x
  3. Step 3: Cross multiply
    22,655.16x = 31,264.54 × 12,584.54
  4. Step 4: Simplify right side
    22,655.16x = 393,449,854.21
  5. Step 5: Solve for x
    x = 393,449,854.21/22,655.16
  6. Step 6: Final answer
    x = 17,366.90

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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.