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Finding the Fourth Proportional to 27,952.34, 38,574.33 and 15,205.52

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Solution

The fourth proportional to 27,952.34, 38,574.33 and 15,205.52 is: 20,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.34 : 38,574.33 = 15,205.52 : x
  2. Step 2: Convert to fraction form
    27,952.34/38,574.33 = 15,205.52/x
  3. Step 3: Cross multiply
    27,952.34x = 38,574.33 × 15,205.52
  4. Step 4: Simplify right side
    27,952.34x = 586,542,746.30
  5. Step 5: Solve for x
    x = 586,542,746.30/27,952.34
  6. Step 6: Final answer
    x = 20,983.67

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