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Finding the Fourth Proportional to 13,416.61, 18,514.09 and 7,447.93

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Solution

The fourth proportional to 13,416.61, 18,514.09 and 7,447.93 is: 10,277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.61 : 18,514.09 = 7,447.93 : x
  2. Step 2: Convert to fraction form
    13,416.61/18,514.09 = 7,447.93/x
  3. Step 3: Cross multiply
    13,416.61x = 18,514.09 × 7,447.93
  4. Step 4: Simplify right side
    13,416.61x = 137,891,646.33
  5. Step 5: Solve for x
    x = 137,891,646.33/13,416.61
  6. Step 6: Final answer
    x = 10,277.68

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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.