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Finding the Fourth Proportional to 21,015.70, 31,511.40 and 7,869.40

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Solution

The fourth proportional to 21,015.70, 31,511.40 and 7,869.40 is: 11,799.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.70 : 31,511.40 = 7,869.40 : x
  2. Step 2: Convert to fraction form
    21,015.70/31,511.40 = 7,869.40/x
  3. Step 3: Cross multiply
    21,015.70x = 31,511.40 × 7,869.40
  4. Step 4: Simplify right side
    21,015.70x = 247,975,811.16
  5. Step 5: Solve for x
    x = 247,975,811.16/21,015.70
  6. Step 6: Final answer
    x = 11,799.55

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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.