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Finding the Fourth Proportional to 18,731.64, 28,079.70 and 6,411

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Solution

The fourth proportional to 18,731.64, 28,079.70 and 6,411 is: 9,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,731.64 : 28,079.70 = 6,411 : x
  2. Step 2: Convert to fraction form
    18,731.64/28,079.70 = 6,411/x
  3. Step 3: Cross multiply
    18,731.64x = 28,079.70 × 6,411
  4. Step 4: Simplify right side
    18,731.64x = 180,018,956.70
  5. Step 5: Solve for x
    x = 180,018,956.70/18,731.64
  6. Step 6: Final answer
    x = 9,610.42

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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.