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Finding the Fourth Proportional to 15,864.85, 23,808.04 and 8,474.61

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Solution

The fourth proportional to 15,864.85, 23,808.04 and 8,474.61 is: 12,717.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.85 : 23,808.04 = 8,474.61 : x
  2. Step 2: Convert to fraction form
    15,864.85/23,808.04 = 8,474.61/x
  3. Step 3: Cross multiply
    15,864.85x = 23,808.04 × 8,474.61
  4. Step 4: Simplify right side
    15,864.85x = 201,763,853.86
  5. Step 5: Solve for x
    x = 201,763,853.86/15,864.85
  6. Step 6: Final answer
    x = 12,717.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.