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Finding the Fourth Proportional to 10,196.74, 15,274.34 and 9,346.24

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Solution

The fourth proportional to 10,196.74, 15,274.34 and 9,346.24 is: 14,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.74 : 15,274.34 = 9,346.24 : x
  2. Step 2: Convert to fraction form
    10,196.74/15,274.34 = 9,346.24/x
  3. Step 3: Cross multiply
    10,196.74x = 15,274.34 × 9,346.24
  4. Step 4: Simplify right side
    10,196.74x = 142,757,647.48
  5. Step 5: Solve for x
    x = 142,757,647.48/10,196.74
  6. Step 6: Final answer
    x = 14,000.32

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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.