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Finding the Fourth Proportional to 17,599.40, 24,287.14 and 9,642.12

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Solution

The fourth proportional to 17,599.40, 24,287.14 and 9,642.12 is: 13,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.40 : 24,287.14 = 9,642.12 : x
  2. Step 2: Convert to fraction form
    17,599.40/24,287.14 = 9,642.12/x
  3. Step 3: Cross multiply
    17,599.40x = 24,287.14 × 9,642.12
  4. Step 4: Simplify right side
    17,599.40x = 234,179,518.34
  5. Step 5: Solve for x
    x = 234,179,518.34/17,599.40
  6. Step 6: Final answer
    x = 13,306.11

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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.