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Finding the Fourth Proportional to 17,627.82, 24,326.19 and 9,670.11

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Solution

The fourth proportional to 17,627.82, 24,326.19 and 9,670.11 is: 13,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,627.82 : 24,326.19 = 9,670.11 : x
  2. Step 2: Convert to fraction form
    17,627.82/24,326.19 = 9,670.11/x
  3. Step 3: Cross multiply
    17,627.82x = 24,326.19 × 9,670.11
  4. Step 4: Simplify right side
    17,627.82x = 235,236,933.18
  5. Step 5: Solve for x
    x = 235,236,933.18/17,627.82
  6. Step 6: Final answer
    x = 13,344.64

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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.