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Finding the Fourth Proportional to 20,878.81, 31,312.07 and 6,083.76

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Solution

The fourth proportional to 20,878.81, 31,312.07 and 6,083.76 is: 9,123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.81 : 31,312.07 = 6,083.76 : x
  2. Step 2: Convert to fraction form
    20,878.81/31,312.07 = 6,083.76/x
  3. Step 3: Cross multiply
    20,878.81x = 31,312.07 × 6,083.76
  4. Step 4: Simplify right side
    20,878.81x = 190,495,052.67
  5. Step 5: Solve for x
    x = 190,495,052.67/20,878.81
  6. Step 6: Final answer
    x = 9,123.84

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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.