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Finding the Fourth Proportional to 13,416.71, 18,514.19 and 7,448.09

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Solution

The fourth proportional to 13,416.71, 18,514.19 and 7,448.09 is: 10,277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.71 : 18,514.19 = 7,448.09 : x
  2. Step 2: Convert to fraction form
    13,416.71/18,514.19 = 7,448.09/x
  3. Step 3: Cross multiply
    13,416.71x = 18,514.19 × 7,448.09
  4. Step 4: Simplify right side
    13,416.71x = 137,895,316.16
  5. Step 5: Solve for x
    x = 137,895,316.16/13,416.71
  6. Step 6: Final answer
    x = 10,277.88

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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.