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Finding the Fourth Proportional to 19,859.44, 29,784.24 and 6,711.52

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Solution

The fourth proportional to 19,859.44, 29,784.24 and 6,711.52 is: 10,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,859.44 : 29,784.24 = 6,711.52 : x
  2. Step 2: Convert to fraction form
    19,859.44/29,784.24 = 6,711.52/x
  3. Step 3: Cross multiply
    19,859.44x = 29,784.24 × 6,711.52
  4. Step 4: Simplify right side
    19,859.44x = 199,897,522.44
  5. Step 5: Solve for x
    x = 199,897,522.44/19,859.44
  6. Step 6: Final answer
    x = 10,065.62

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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.