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Finding the Fourth Proportional to 17,677.96, 24,400.16 and 10,959.64

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Solution

The fourth proportional to 17,677.96, 24,400.16 and 10,959.64 is: 15,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.96 : 24,400.16 = 10,959.64 : x
  2. Step 2: Convert to fraction form
    17,677.96/24,400.16 = 10,959.64/x
  3. Step 3: Cross multiply
    17,677.96x = 24,400.16 × 10,959.64
  4. Step 4: Simplify right side
    17,677.96x = 267,416,969.54
  5. Step 5: Solve for x
    x = 267,416,969.54/17,677.96
  6. Step 6: Final answer
    x = 15,127.14

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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.