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Finding the Fourth Proportional to 17,599.82, 24,287.76 and 9,642.06

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Solution

The fourth proportional to 17,599.82, 24,287.76 and 9,642.06 is: 13,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,599.82 : 24,287.76 = 9,642.06 : x
  2. Step 2: Convert to fraction form
    17,599.82/24,287.76 = 9,642.06/x
  3. Step 3: Cross multiply
    17,599.82x = 24,287.76 × 9,642.06
  4. Step 4: Simplify right side
    17,599.82x = 234,184,039.19
  5. Step 5: Solve for x
    x = 234,184,039.19/17,599.82
  6. Step 6: Final answer
    x = 13,306.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.