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Finding the Fourth Proportional to 12,294.15, 16,965.64 and 7,514.08

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Solution

The fourth proportional to 12,294.15, 16,965.64 and 7,514.08 is: 10,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.15 : 16,965.64 = 7,514.08 : x
  2. Step 2: Convert to fraction form
    12,294.15/16,965.64 = 7,514.08/x
  3. Step 3: Cross multiply
    12,294.15x = 16,965.64 × 7,514.08
  4. Step 4: Simplify right side
    12,294.15x = 127,481,176.21
  5. Step 5: Solve for x
    x = 127,481,176.21/12,294.15
  6. Step 6: Final answer
    x = 10,369.25

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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.