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Finding the Fourth Proportional to 26,422.92, 36,464.04 and 15,813

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Solution

The fourth proportional to 26,422.92, 36,464.04 and 15,813 is: 21,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,422.92 : 36,464.04 = 15,813 : x
  2. Step 2: Convert to fraction form
    26,422.92/36,464.04 = 15,813/x
  3. Step 3: Cross multiply
    26,422.92x = 36,464.04 × 15,813
  4. Step 4: Simplify right side
    26,422.92x = 576,605,864.52
  5. Step 5: Solve for x
    x = 576,605,864.52/26,422.92
  6. Step 6: Final answer
    x = 21,822.19

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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.