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Finding the Fourth Proportional to 20,981.87, 31,427.50 and 9,871.91

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Solution

The fourth proportional to 20,981.87, 31,427.50 and 9,871.91 is: 14,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.87 : 31,427.50 = 9,871.91 : x
  2. Step 2: Convert to fraction form
    20,981.87/31,427.50 = 9,871.91/x
  3. Step 3: Cross multiply
    20,981.87x = 31,427.50 × 9,871.91
  4. Step 4: Simplify right side
    20,981.87x = 310,249,451.53
  5. Step 5: Solve for x
    x = 310,249,451.53/20,981.87
  6. Step 6: Final answer
    x = 14,786.55

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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.