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Finding the Fourth Proportional to 10,199.40, 15,320.70 and 9,832.20

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Solution

The fourth proportional to 10,199.40, 15,320.70 and 9,832.20 is: 14,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.40 : 15,320.70 = 9,832.20 : x
  2. Step 2: Convert to fraction form
    10,199.40/15,320.70 = 9,832.20/x
  3. Step 3: Cross multiply
    10,199.40x = 15,320.70 × 9,832.20
  4. Step 4: Simplify right side
    10,199.40x = 150,636,186.54
  5. Step 5: Solve for x
    x = 150,636,186.54/10,199.40
  6. Step 6: Final answer
    x = 14,769.12

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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.