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Finding the Fourth Proportional to 17,966.97, 24,793.74 and 10,009.02

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Solution

The fourth proportional to 17,966.97, 24,793.74 and 10,009.02 is: 13,812.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.97 : 24,793.74 = 10,009.02 : x
  2. Step 2: Convert to fraction form
    17,966.97/24,793.74 = 10,009.02/x
  3. Step 3: Cross multiply
    17,966.97x = 24,793.74 × 10,009.02
  4. Step 4: Simplify right side
    17,966.97x = 248,161,039.53
  5. Step 5: Solve for x
    x = 248,161,039.53/17,966.97
  6. Step 6: Final answer
    x = 13,812.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.