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Finding the Fourth Proportional to 17,646.94, 24,348.02 and 10,091.71

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Solution

The fourth proportional to 17,646.94, 24,348.02 and 10,091.71 is: 13,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.94 : 24,348.02 = 10,091.71 : x
  2. Step 2: Convert to fraction form
    17,646.94/24,348.02 = 10,091.71/x
  3. Step 3: Cross multiply
    17,646.94x = 24,348.02 × 10,091.71
  4. Step 4: Simplify right side
    17,646.94x = 245,713,156.91
  5. Step 5: Solve for x
    x = 245,713,156.91/17,646.94
  6. Step 6: Final answer
    x = 13,923.84

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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.