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Finding the Fourth Proportional to 22,471.28, 31,015.08 and 14,918.24

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Solution

The fourth proportional to 22,471.28, 31,015.08 and 14,918.24 is: 20,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.28 : 31,015.08 = 14,918.24 : x
  2. Step 2: Convert to fraction form
    22,471.28/31,015.08 = 14,918.24/x
  3. Step 3: Cross multiply
    22,471.28x = 31,015.08 × 14,918.24
  4. Step 4: Simplify right side
    22,471.28x = 462,690,407.06
  5. Step 5: Solve for x
    x = 462,690,407.06/22,471.28
  6. Step 6: Final answer
    x = 20,590.30

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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.