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Finding the Fourth Proportional to 17,612.76, 24,305.54 and 9,655.32

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Solution

The fourth proportional to 17,612.76, 24,305.54 and 9,655.32 is: 13,324.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.76 : 24,305.54 = 9,655.32 : x
  2. Step 2: Convert to fraction form
    17,612.76/24,305.54 = 9,655.32/x
  3. Step 3: Cross multiply
    17,612.76x = 24,305.54 × 9,655.32
  4. Step 4: Simplify right side
    17,612.76x = 234,677,766.47
  5. Step 5: Solve for x
    x = 234,677,766.47/17,612.76
  6. Step 6: Final answer
    x = 13,324.30

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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.