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Finding the Fourth Proportional to 16,083.42, 24,116.49 and 7,320.30

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Solution

The fourth proportional to 16,083.42, 24,116.49 and 7,320.30 is: 10,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083.42 : 24,116.49 = 7,320.30 : x
  2. Step 2: Convert to fraction form
    16,083.42/24,116.49 = 7,320.30/x
  3. Step 3: Cross multiply
    16,083.42x = 24,116.49 × 7,320.30
  4. Step 4: Simplify right side
    16,083.42x = 176,539,941.75
  5. Step 5: Solve for x
    x = 176,539,941.75/16,083.42
  6. Step 6: Final answer
    x = 10,976.52

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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.