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Finding the Fourth Proportional to 13,417.17, 18,514.76 and 7,448.37

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Solution

The fourth proportional to 13,417.17, 18,514.76 and 7,448.37 is: 10,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.17 : 18,514.76 = 7,448.37 : x
  2. Step 2: Convert to fraction form
    13,417.17/18,514.76 = 7,448.37/x
  3. Step 3: Cross multiply
    13,417.17x = 18,514.76 × 7,448.37
  4. Step 4: Simplify right side
    13,417.17x = 137,904,745.70
  5. Step 5: Solve for x
    x = 137,904,745.70/13,417.17
  6. Step 6: Final answer
    x = 10,278.23

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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.