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Finding the Fourth Proportional to 19,324.10, 28,964.55 and 8,228.90

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Solution

The fourth proportional to 19,324.10, 28,964.55 and 8,228.90 is: 12,334.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324.10 : 28,964.55 = 8,228.90 : x
  2. Step 2: Convert to fraction form
    19,324.10/28,964.55 = 8,228.90/x
  3. Step 3: Cross multiply
    19,324.10x = 28,964.55 × 8,228.90
  4. Step 4: Simplify right side
    19,324.10x = 238,346,385.50
  5. Step 5: Solve for x
    x = 238,346,385.50/19,324.10
  6. Step 6: Final answer
    x = 12,334.15

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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.