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Finding the Fourth Proportional to 17,627.71, 24,326.23 and 9,669.95

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Solution

The fourth proportional to 17,627.71, 24,326.23 and 9,669.95 is: 13,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.71 : 24,326.23 = 9,669.95 : x
  2. Step 2: Convert to fraction form
    17,627.71/24,326.23 = 9,669.95/x
  3. Step 3: Cross multiply
    17,627.71x = 24,326.23 × 9,669.95
  4. Step 4: Simplify right side
    17,627.71x = 235,233,306.16
  5. Step 5: Solve for x
    x = 235,233,306.16/17,627.71
  6. Step 6: Final answer
    x = 13,344.52

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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.