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Finding the Fourth Proportional to 21,219.50, 31,780.80 and 10,134

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Solution

The fourth proportional to 21,219.50, 31,780.80 and 10,134 is: 15,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.50 : 31,780.80 = 10,134 : x
  2. Step 2: Convert to fraction form
    21,219.50/31,780.80 = 10,134/x
  3. Step 3: Cross multiply
    21,219.50x = 31,780.80 × 10,134
  4. Step 4: Simplify right side
    21,219.50x = 322,066,627.20
  5. Step 5: Solve for x
    x = 322,066,627.20/21,219.50
  6. Step 6: Final answer
    x = 15,177.86

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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.