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Finding the Fourth Proportional to 27,705.92, 38,234.31 and 15,130.67

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Solution

The fourth proportional to 27,705.92, 38,234.31 and 15,130.67 is: 20,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.92 : 38,234.31 = 15,130.67 : x
  2. Step 2: Convert to fraction form
    27,705.92/38,234.31 = 15,130.67/x
  3. Step 3: Cross multiply
    27,705.92x = 38,234.31 × 15,130.67
  4. Step 4: Simplify right side
    27,705.92x = 578,510,727.29
  5. Step 5: Solve for x
    x = 578,510,727.29/27,705.92
  6. Step 6: Final answer
    x = 20,880.40

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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.