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Finding the Fourth Proportional to 8,668.14, 13,001.40 and 2,427.60

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Solution

The fourth proportional to 8,668.14, 13,001.40 and 2,427.60 is: 3,641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,668.14 : 13,001.40 = 2,427.60 : x
  2. Step 2: Convert to fraction form
    8,668.14/13,001.40 = 2,427.60/x
  3. Step 3: Cross multiply
    8,668.14x = 13,001.40 × 2,427.60
  4. Step 4: Simplify right side
    8,668.14x = 31,562,198.64
  5. Step 5: Solve for x
    x = 31,562,198.64/8,668.14
  6. Step 6: Final answer
    x = 3,641.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.