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Finding the Fourth Proportional to 16,341.66, 24,514.92 and 7,577.46

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Solution

The fourth proportional to 16,341.66, 24,514.92 and 7,577.46 is: 11,367.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,341.66 : 24,514.92 = 7,577.46 : x
  2. Step 2: Convert to fraction form
    16,341.66/24,514.92 = 7,577.46/x
  3. Step 3: Cross multiply
    16,341.66x = 24,514.92 × 7,577.46
  4. Step 4: Simplify right side
    16,341.66x = 185,760,825.70
  5. Step 5: Solve for x
    x = 185,760,825.70/16,341.66
  6. Step 6: Final answer
    x = 11,367.32

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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.