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Finding the Fourth Proportional to 15,733.38, 21,713.19 and 9,020.67

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Solution

The fourth proportional to 15,733.38, 21,713.19 and 9,020.67 is: 12,449.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.38 : 21,713.19 = 9,020.67 : x
  2. Step 2: Convert to fraction form
    15,733.38/21,713.19 = 9,020.67/x
  3. Step 3: Cross multiply
    15,733.38x = 21,713.19 × 9,020.67
  4. Step 4: Simplify right side
    15,733.38x = 195,867,406.39
  5. Step 5: Solve for x
    x = 195,867,406.39/15,733.38
  6. Step 6: Final answer
    x = 12,449.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.