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Finding the Fourth Proportional to 20,772.60, 31,153.14 and 5,977.50

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Solution

The fourth proportional to 20,772.60, 31,153.14 and 5,977.50 is: 8,964.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,772.60 : 31,153.14 = 5,977.50 : x
  2. Step 2: Convert to fraction form
    20,772.60/31,153.14 = 5,977.50/x
  3. Step 3: Cross multiply
    20,772.60x = 31,153.14 × 5,977.50
  4. Step 4: Simplify right side
    20,772.60x = 186,217,894.35
  5. Step 5: Solve for x
    x = 186,217,894.35/20,772.60
  6. Step 6: Final answer
    x = 8,964.59

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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.