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Finding the Fourth Proportional to 19,097.13, 28,648.86 and 8,004.65

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Solution

The fourth proportional to 19,097.13, 28,648.86 and 8,004.65 is: 12,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,097.13 : 28,648.86 = 8,004.65 : x
  2. Step 2: Convert to fraction form
    19,097.13/28,648.86 = 8,004.65/x
  3. Step 3: Cross multiply
    19,097.13x = 28,648.86 × 8,004.65
  4. Step 4: Simplify right side
    19,097.13x = 229,324,097.20
  5. Step 5: Solve for x
    x = 229,324,097.20/19,097.13
  6. Step 6: Final answer
    x = 12,008.30

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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.