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Finding the Fourth Proportional to 17,625.20, 24,308.64 and 15,496.20

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Solution

The fourth proportional to 17,625.20, 24,308.64 and 15,496.20 is: 21,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,625.20 : 24,308.64 = 15,496.20 : x
  2. Step 2: Convert to fraction form
    17,625.20/24,308.64 = 15,496.20/x
  3. Step 3: Cross multiply
    17,625.20x = 24,308.64 × 15,496.20
  4. Step 4: Simplify right side
    17,625.20x = 376,691,547.17
  5. Step 5: Solve for x
    x = 376,691,547.17/17,625.20
  6. Step 6: Final answer
    x = 21,372.33

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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.