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Finding the Fourth Proportional to 18,972, 28,460.27 and 5,822.65

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Solution

The fourth proportional to 18,972, 28,460.27 and 5,822.65 is: 8,734.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,972 : 28,460.27 = 5,822.65 : x
  2. Step 2: Convert to fraction form
    18,972/28,460.27 = 5,822.65/x
  3. Step 3: Cross multiply
    18,972x = 28,460.27 × 5,822.65
  4. Step 4: Simplify right side
    18,972x = 165,714,191.12
  5. Step 5: Solve for x
    x = 165,714,191.12/18,972
  6. Step 6: Final answer
    x = 8,734.67

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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.