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Finding the Fourth Proportional to 16,146.86, 24,185.12 and 7,809.29

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Solution

The fourth proportional to 16,146.86, 24,185.12 and 7,809.29 is: 11,696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.86 : 24,185.12 = 7,809.29 : x
  2. Step 2: Convert to fraction form
    16,146.86/24,185.12 = 7,809.29/x
  3. Step 3: Cross multiply
    16,146.86x = 24,185.12 × 7,809.29
  4. Step 4: Simplify right side
    16,146.86x = 188,868,514.36
  5. Step 5: Solve for x
    x = 188,868,514.36/16,146.86
  6. Step 6: Final answer
    x = 11,696.92

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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.