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Finding the Fourth Proportional to 17,615.25, 24,309.78 and 9,657.78

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Solution

The fourth proportional to 17,615.25, 24,309.78 and 9,657.78 is: 13,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,615.25 : 24,309.78 = 9,657.78 : x
  2. Step 2: Convert to fraction form
    17,615.25/24,309.78 = 9,657.78/x
  3. Step 3: Cross multiply
    17,615.25x = 24,309.78 × 9,657.78
  4. Step 4: Simplify right side
    17,615.25x = 234,778,507.09
  5. Step 5: Solve for x
    x = 234,778,507.09/17,615.25
  6. Step 6: Final answer
    x = 13,328.14

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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.