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Finding the Fourth Proportional to 17,642.61, 24,346.98 and 9,685.17

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Solution

The fourth proportional to 17,642.61, 24,346.98 and 9,685.17 is: 13,365.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.61 : 24,346.98 = 9,685.17 : x
  2. Step 2: Convert to fraction form
    17,642.61/24,346.98 = 9,685.17/x
  3. Step 3: Cross multiply
    17,642.61x = 24,346.98 × 9,685.17
  4. Step 4: Simplify right side
    17,642.61x = 235,804,640.29
  5. Step 5: Solve for x
    x = 235,804,640.29/17,642.61
  6. Step 6: Final answer
    x = 13,365.63

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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.