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Finding the Fourth Proportional to 22,796.80, 31,460.80 and 13,366.08

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Solution

The fourth proportional to 22,796.80, 31,460.80 and 13,366.08 is: 18,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,796.80 : 31,460.80 = 13,366.08 : x
  2. Step 2: Convert to fraction form
    22,796.80/31,460.80 = 13,366.08/x
  3. Step 3: Cross multiply
    22,796.80x = 31,460.80 × 13,366.08
  4. Step 4: Simplify right side
    22,796.80x = 420,507,569.66
  5. Step 5: Solve for x
    x = 420,507,569.66/22,796.80
  6. Step 6: Final answer
    x = 18,445.90

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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.