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Finding the Fourth Proportional to 17,612.17, 24,305.61 and 9,655

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Solution

The fourth proportional to 17,612.17, 24,305.61 and 9,655 is: 13,324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,612.17 : 24,305.61 = 9,655 : x
  2. Step 2: Convert to fraction form
    17,612.17/24,305.61 = 9,655/x
  3. Step 3: Cross multiply
    17,612.17x = 24,305.61 × 9,655
  4. Step 4: Simplify right side
    17,612.17x = 234,670,664.55
  5. Step 5: Solve for x
    x = 234,670,664.55/17,612.17
  6. Step 6: Final answer
    x = 13,324.35

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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.