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Finding the Fourth Proportional to 13,514.52, 18,662.88 and 12,778.20

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Solution

The fourth proportional to 13,514.52, 18,662.88 and 12,778.20 is: 17,646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.52 : 18,662.88 = 12,778.20 : x
  2. Step 2: Convert to fraction form
    13,514.52/18,662.88 = 12,778.20/x
  3. Step 3: Cross multiply
    13,514.52x = 18,662.88 × 12,778.20
  4. Step 4: Simplify right side
    13,514.52x = 238,478,013.22
  5. Step 5: Solve for x
    x = 238,478,013.22/13,514.52
  6. Step 6: Final answer
    x = 17,646.06

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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.