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Finding the Fourth Proportional to 10,243.28, 15,369.24 and 9,426

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Solution

The fourth proportional to 10,243.28, 15,369.24 and 9,426 is: 14,142.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.28 : 15,369.24 = 9,426 : x
  2. Step 2: Convert to fraction form
    10,243.28/15,369.24 = 9,426/x
  3. Step 3: Cross multiply
    10,243.28x = 15,369.24 × 9,426
  4. Step 4: Simplify right side
    10,243.28x = 144,870,456.24
  5. Step 5: Solve for x
    x = 144,870,456.24/10,243.28
  6. Step 6: Final answer
    x = 14,142.98

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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.