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Finding the Fourth Proportional to 13,514.51, 18,662.85 and 12,778.22

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Solution

The fourth proportional to 13,514.51, 18,662.85 and 12,778.22 is: 17,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,514.51 : 18,662.85 = 12,778.22 : x
  2. Step 2: Convert to fraction form
    13,514.51/18,662.85 = 12,778.22/x
  3. Step 3: Cross multiply
    13,514.51x = 18,662.85 × 12,778.22
  4. Step 4: Simplify right side
    13,514.51x = 238,477,909.81
  5. Step 5: Solve for x
    x = 238,477,909.81/13,514.51
  6. Step 6: Final answer
    x = 17,646.07

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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.