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Finding the Fourth Proportional to 21,019.79, 31,513.88 and 9,920.15

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Solution

The fourth proportional to 21,019.79, 31,513.88 and 9,920.15 is: 14,872.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019.79 : 31,513.88 = 9,920.15 : x
  2. Step 2: Convert to fraction form
    21,019.79/31,513.88 = 9,920.15/x
  3. Step 3: Cross multiply
    21,019.79x = 31,513.88 × 9,920.15
  4. Step 4: Simplify right side
    21,019.79x = 312,622,520.27
  5. Step 5: Solve for x
    x = 312,622,520.27/21,019.79
  6. Step 6: Final answer
    x = 14,872.77

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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.