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Finding the Fourth Proportional to 20,728.40, 31,089.30 and 6,877.40

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Solution

The fourth proportional to 20,728.40, 31,089.30 and 6,877.40 is: 10,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.40 : 31,089.30 = 6,877.40 : x
  2. Step 2: Convert to fraction form
    20,728.40/31,089.30 = 6,877.40/x
  3. Step 3: Cross multiply
    20,728.40x = 31,089.30 × 6,877.40
  4. Step 4: Simplify right side
    20,728.40x = 213,813,551.82
  5. Step 5: Solve for x
    x = 213,813,551.82/20,728.40
  6. Step 6: Final answer
    x = 10,315.01

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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.