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Finding the Fourth Proportional to 13,416.27, 18,514.58 and 7,448.49

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Solution

The fourth proportional to 13,416.27, 18,514.58 and 7,448.49 is: 10,278.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.27 : 18,514.58 = 7,448.49 : x
  2. Step 2: Convert to fraction form
    13,416.27/18,514.58 = 7,448.49/x
  3. Step 3: Cross multiply
    13,416.27x = 18,514.58 × 7,448.49
  4. Step 4: Simplify right side
    13,416.27x = 137,905,626.74
  5. Step 5: Solve for x
    x = 137,905,626.74/13,416.27
  6. Step 6: Final answer
    x = 10,278.99

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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.