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Finding the Fourth Proportional to 16,085.44, 24,108.72 and 6,832

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Solution

The fourth proportional to 16,085.44, 24,108.72 and 6,832 is: 10,239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.44 : 24,108.72 = 6,832 : x
  2. Step 2: Convert to fraction form
    16,085.44/24,108.72 = 6,832/x
  3. Step 3: Cross multiply
    16,085.44x = 24,108.72 × 6,832
  4. Step 4: Simplify right side
    16,085.44x = 164,710,775.04
  5. Step 5: Solve for x
    x = 164,710,775.04/16,085.44
  6. Step 6: Final answer
    x = 10,239.74

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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.