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Finding the Fourth Proportional to 27,931.38, 38,545.47 and 15,356.22

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Solution

The fourth proportional to 27,931.38, 38,545.47 and 15,356.22 is: 21,191.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,931.38 : 38,545.47 = 15,356.22 : x
  2. Step 2: Convert to fraction form
    27,931.38/38,545.47 = 15,356.22/x
  3. Step 3: Cross multiply
    27,931.38x = 38,545.47 × 15,356.22
  4. Step 4: Simplify right side
    27,931.38x = 591,912,717.32
  5. Step 5: Solve for x
    x = 591,912,717.32/27,931.38
  6. Step 6: Final answer
    x = 21,191.67

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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.