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Finding the Fourth Proportional to 22,449.69, 33,674.54 and 9,966.78

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Solution

The fourth proportional to 22,449.69, 33,674.54 and 9,966.78 is: 14,950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.69 : 33,674.54 = 9,966.78 : x
  2. Step 2: Convert to fraction form
    22,449.69/33,674.54 = 9,966.78/x
  3. Step 3: Cross multiply
    22,449.69x = 33,674.54 × 9,966.78
  4. Step 4: Simplify right side
    22,449.69x = 335,626,681.95
  5. Step 5: Solve for x
    x = 335,626,681.95/22,449.69
  6. Step 6: Final answer
    x = 14,950.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.