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Finding the Fourth Proportional to 19,527.72, 29,296.88 and 7,849.12

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Solution

The fourth proportional to 19,527.72, 29,296.88 and 7,849.12 is: 11,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.72 : 29,296.88 = 7,849.12 : x
  2. Step 2: Convert to fraction form
    19,527.72/29,296.88 = 7,849.12/x
  3. Step 3: Cross multiply
    19,527.72x = 29,296.88 × 7,849.12
  4. Step 4: Simplify right side
    19,527.72x = 229,954,726.75
  5. Step 5: Solve for x
    x = 229,954,726.75/19,527.72
  6. Step 6: Final answer
    x = 11,775.81

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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.