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Finding the Fourth Proportional to 12,690.27, 17,514.59 and 7,655.22

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Solution

The fourth proportional to 12,690.27, 17,514.59 and 7,655.22 is: 10,565.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,690.27 : 17,514.59 = 7,655.22 : x
  2. Step 2: Convert to fraction form
    12,690.27/17,514.59 = 7,655.22/x
  3. Step 3: Cross multiply
    12,690.27x = 17,514.59 × 7,655.22
  4. Step 4: Simplify right side
    12,690.27x = 134,077,952.09
  5. Step 5: Solve for x
    x = 134,077,952.09/12,690.27
  6. Step 6: Final answer
    x = 10,565.41

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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.