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Finding the Fourth Proportional to 24,442.75, 33,731 and 13,264.75

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Solution

The fourth proportional to 24,442.75, 33,731 and 13,264.75 is: 18,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.75 : 33,731 = 13,264.75 : x
  2. Step 2: Convert to fraction form
    24,442.75/33,731 = 13,264.75/x
  3. Step 3: Cross multiply
    24,442.75x = 33,731 × 13,264.75
  4. Step 4: Simplify right side
    24,442.75x = 447,433,282.25
  5. Step 5: Solve for x
    x = 447,433,282.25/24,442.75
  6. Step 6: Final answer
    x = 18,305.36

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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.