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Finding the Fourth Proportional to 19,882.73, 29,824.09 and 9,345.02

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Solution

The fourth proportional to 19,882.73, 29,824.09 and 9,345.02 is: 14,017.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.73 : 29,824.09 = 9,345.02 : x
  2. Step 2: Convert to fraction form
    19,882.73/29,824.09 = 9,345.02/x
  3. Step 3: Cross multiply
    19,882.73x = 29,824.09 × 9,345.02
  4. Step 4: Simplify right side
    19,882.73x = 278,706,545.05
  5. Step 5: Solve for x
    x = 278,706,545.05/19,882.73
  6. Step 6: Final answer
    x = 14,017.52

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1.5x scale

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.