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Finding the Fourth Proportional to 26,256, 36,232.92 and 15,646.08

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Solution

The fourth proportional to 26,256, 36,232.92 and 15,646.08 is: 21,591.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,256 : 36,232.92 = 15,646.08 : x
  2. Step 2: Convert to fraction form
    26,256/36,232.92 = 15,646.08/x
  3. Step 3: Cross multiply
    26,256x = 36,232.92 × 15,646.08
  4. Step 4: Simplify right side
    26,256x = 566,903,164.95
  5. Step 5: Solve for x
    x = 566,903,164.95/26,256
  6. Step 6: Final answer
    x = 21,591.38

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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.