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Finding the Fourth Proportional to 19,693.62, 29,525.39 and 9,839.81

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Solution

The fourth proportional to 19,693.62, 29,525.39 and 9,839.81 is: 14,752.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,693.62 : 29,525.39 = 9,839.81 : x
  2. Step 2: Convert to fraction form
    19,693.62/29,525.39 = 9,839.81/x
  3. Step 3: Cross multiply
    19,693.62x = 29,525.39 × 9,839.81
  4. Step 4: Simplify right side
    19,693.62x = 290,524,030.95
  5. Step 5: Solve for x
    x = 290,524,030.95/19,693.62
  6. Step 6: Final answer
    x = 14,752.19

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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.