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Finding the Fourth Proportional to 20,916.66, 31,364.19 and 7,766.58

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Solution

The fourth proportional to 20,916.66, 31,364.19 and 7,766.58 is: 11,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916.66 : 31,364.19 = 7,766.58 : x
  2. Step 2: Convert to fraction form
    20,916.66/31,364.19 = 7,766.58/x
  3. Step 3: Cross multiply
    20,916.66x = 31,364.19 × 7,766.58
  4. Step 4: Simplify right side
    20,916.66x = 243,592,490.77
  5. Step 5: Solve for x
    x = 243,592,490.77/20,916.66
  6. Step 6: Final answer
    x = 11,645.86

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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.