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Finding the Fourth Proportional to 13,417.26, 18,514.94 and 7,448.92

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Solution

The fourth proportional to 13,417.26, 18,514.94 and 7,448.92 is: 10,279.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.26 : 18,514.94 = 7,448.92 : x
  2. Step 2: Convert to fraction form
    13,417.26/18,514.94 = 7,448.92/x
  3. Step 3: Cross multiply
    13,417.26x = 18,514.94 × 7,448.92
  4. Step 4: Simplify right side
    13,417.26x = 137,916,306.86
  5. Step 5: Solve for x
    x = 137,916,306.86/13,417.26
  6. Step 6: Final answer
    x = 10,279.02

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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.