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Finding the Fourth Proportional to 22,783.16, 34,175.04 and 7,992.51

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Solution

The fourth proportional to 22,783.16, 34,175.04 and 7,992.51 is: 11,988.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.16 : 34,175.04 = 7,992.51 : x
  2. Step 2: Convert to fraction form
    22,783.16/34,175.04 = 7,992.51/x
  3. Step 3: Cross multiply
    22,783.16x = 34,175.04 × 7,992.51
  4. Step 4: Simplify right side
    22,783.16x = 273,144,348.95
  5. Step 5: Solve for x
    x = 273,144,348.95/22,783.16
  6. Step 6: Final answer
    x = 11,988.87

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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.