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Finding the Fourth Proportional to 13,668.65, 18,862.89 and 8,002.16

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Solution

The fourth proportional to 13,668.65, 18,862.89 and 8,002.16 is: 11,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,668.65 : 18,862.89 = 8,002.16 : x
  2. Step 2: Convert to fraction form
    13,668.65/18,862.89 = 8,002.16/x
  3. Step 3: Cross multiply
    13,668.65x = 18,862.89 × 8,002.16
  4. Step 4: Simplify right side
    13,668.65x = 150,943,863.84
  5. Step 5: Solve for x
    x = 150,943,863.84/13,668.65
  6. Step 6: Final answer
    x = 11,043.07

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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.