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Finding the Fourth Proportional to 27,700.38, 38,222.08 and 15,763.92

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Solution

The fourth proportional to 27,700.38, 38,222.08 and 15,763.92 is: 21,751.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,700.38 : 38,222.08 = 15,763.92 : x
  2. Step 2: Convert to fraction form
    27,700.38/38,222.08 = 15,763.92/x
  3. Step 3: Cross multiply
    27,700.38x = 38,222.08 × 15,763.92
  4. Step 4: Simplify right side
    27,700.38x = 602,529,628.61
  5. Step 5: Solve for x
    x = 602,529,628.61/27,700.38
  6. Step 6: Final answer
    x = 21,751.67

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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.