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Finding the Fourth Proportional to 21,000.70, 31,513.20 and 7,854.40

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Solution

The fourth proportional to 21,000.70, 31,513.20 and 7,854.40 is: 11,786.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.70 : 31,513.20 = 7,854.40 : x
  2. Step 2: Convert to fraction form
    21,000.70/31,513.20 = 7,854.40/x
  3. Step 3: Cross multiply
    21,000.70x = 31,513.20 × 7,854.40
  4. Step 4: Simplify right side
    21,000.70x = 247,517,278.08
  5. Step 5: Solve for x
    x = 247,517,278.08/21,000.70
  6. Step 6: Final answer
    x = 11,786.14

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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.