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Finding the Fourth Proportional to 12,277.86, 18,417.42 and 3,514.08

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Solution

The fourth proportional to 12,277.86, 18,417.42 and 3,514.08 is: 5,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.86 : 18,417.42 = 3,514.08 : x
  2. Step 2: Convert to fraction form
    12,277.86/18,417.42 = 3,514.08/x
  3. Step 3: Cross multiply
    12,277.86x = 18,417.42 × 3,514.08
  4. Step 4: Simplify right side
    12,277.86x = 64,720,287.27
  5. Step 5: Solve for x
    x = 64,720,287.27/12,277.86
  6. Step 6: Final answer
    x = 5,271.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.