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Finding the Fourth Proportional to 16,146.59, 24,223.20 and 6,781.10

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Solution

The fourth proportional to 16,146.59, 24,223.20 and 6,781.10 is: 10,173.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.59 : 24,223.20 = 6,781.10 : x
  2. Step 2: Convert to fraction form
    16,146.59/24,223.20 = 6,781.10/x
  3. Step 3: Cross multiply
    16,146.59x = 24,223.20 × 6,781.10
  4. Step 4: Simplify right side
    16,146.59x = 164,259,820.40
  5. Step 5: Solve for x
    x = 164,259,820.40/16,146.59
  6. Step 6: Final answer
    x = 10,173.04

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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.