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Finding the Fourth Proportional to 10,194.95, 15,272.49 and 7,024.91

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Solution

The fourth proportional to 10,194.95, 15,272.49 and 7,024.91 is: 10,523.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.95 : 15,272.49 = 7,024.91 : x
  2. Step 2: Convert to fraction form
    10,194.95/15,272.49 = 7,024.91/x
  3. Step 3: Cross multiply
    10,194.95x = 15,272.49 × 7,024.91
  4. Step 4: Simplify right side
    10,194.95x = 107,287,791.36
  5. Step 5: Solve for x
    x = 107,287,791.36/10,194.95
  6. Step 6: Final answer
    x = 10,523.63

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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.