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Finding the Fourth Proportional to 20,870.58, 31,311 and 6,079.63

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Solution

The fourth proportional to 20,870.58, 31,311 and 6,079.63 is: 9,120.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.58 : 31,311 = 6,079.63 : x
  2. Step 2: Convert to fraction form
    20,870.58/31,311 = 6,079.63/x
  3. Step 3: Cross multiply
    20,870.58x = 31,311 × 6,079.63
  4. Step 4: Simplify right side
    20,870.58x = 190,359,294.93
  5. Step 5: Solve for x
    x = 190,359,294.93/20,870.58
  6. Step 6: Final answer
    x = 9,120.94

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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.