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Finding the Fourth Proportional to 21,184, 31,755.34 and 10,087.72

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Solution

The fourth proportional to 21,184, 31,755.34 and 10,087.72 is: 15,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184 : 31,755.34 = 10,087.72 : x
  2. Step 2: Convert to fraction form
    21,184/31,755.34 = 10,087.72/x
  3. Step 3: Cross multiply
    21,184x = 31,755.34 × 10,087.72
  4. Step 4: Simplify right side
    21,184x = 320,338,978.42
  5. Step 5: Solve for x
    x = 320,338,978.42/21,184
  6. Step 6: Final answer
    x = 15,121.74

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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.