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Finding the Fourth Proportional to 27,661.57, 38,176.45 and 15,562.67

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Solution

The fourth proportional to 27,661.57, 38,176.45 and 15,562.67 is: 21,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,661.57 : 38,176.45 = 15,562.67 : x
  2. Step 2: Convert to fraction form
    27,661.57/38,176.45 = 15,562.67/x
  3. Step 3: Cross multiply
    27,661.57x = 38,176.45 × 15,562.67
  4. Step 4: Simplify right side
    27,661.57x = 594,127,263.33
  5. Step 5: Solve for x
    x = 594,127,263.33/27,661.57
  6. Step 6: Final answer
    x = 21,478.44

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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.