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Finding the Fourth Proportional to 15,781.84, 23,674.02 and 9,208.70

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Solution

The fourth proportional to 15,781.84, 23,674.02 and 9,208.70 is: 13,813.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.84 : 23,674.02 = 9,208.70 : x
  2. Step 2: Convert to fraction form
    15,781.84/23,674.02 = 9,208.70/x
  3. Step 3: Cross multiply
    15,781.84x = 23,674.02 × 9,208.70
  4. Step 4: Simplify right side
    15,781.84x = 218,006,947.97
  5. Step 5: Solve for x
    x = 218,006,947.97/15,781.84
  6. Step 6: Final answer
    x = 13,813.79

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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.