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Finding the Fourth Proportional to 19,999.70, 30,003.15 and 8,314.10

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Solution

The fourth proportional to 19,999.70, 30,003.15 and 8,314.10 is: 12,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,999.70 : 30,003.15 = 8,314.10 : x
  2. Step 2: Convert to fraction form
    19,999.70/30,003.15 = 8,314.10/x
  3. Step 3: Cross multiply
    19,999.70x = 30,003.15 × 8,314.10
  4. Step 4: Simplify right side
    19,999.70x = 249,449,189.42
  5. Step 5: Solve for x
    x = 249,449,189.42/19,999.70
  6. Step 6: Final answer
    x = 12,472.65

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1.5x scale

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.