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Finding the Fourth Proportional to 19,337.10, 28,984.05 and 8,241.90

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Solution

The fourth proportional to 19,337.10, 28,984.05 and 8,241.90 is: 12,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,337.10 : 28,984.05 = 8,241.90 : x
  2. Step 2: Convert to fraction form
    19,337.10/28,984.05 = 8,241.90/x
  3. Step 3: Cross multiply
    19,337.10x = 28,984.05 × 8,241.90
  4. Step 4: Simplify right side
    19,337.10x = 238,883,641.70
  5. Step 5: Solve for x
    x = 238,883,641.70/19,337.10
  6. Step 6: Final answer
    x = 12,353.64

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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.