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Finding the Fourth Proportional to 17,615, 24,308.16 and 9,657.02

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Solution

The fourth proportional to 17,615, 24,308.16 and 9,657.02 is: 13,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615 : 24,308.16 = 9,657.02 : x
  2. Step 2: Convert to fraction form
    17,615/24,308.16 = 9,657.02/x
  3. Step 3: Cross multiply
    17,615x = 24,308.16 × 9,657.02
  4. Step 4: Simplify right side
    17,615x = 234,744,387.28
  5. Step 5: Solve for x
    x = 234,744,387.28/17,615
  6. Step 6: Final answer
    x = 13,326.39

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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.