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Finding the Fourth Proportional to 10,227.80, 15,320.10 and 9,133.40

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Solution

The fourth proportional to 10,227.80, 15,320.10 and 9,133.40 is: 13,680.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.80 : 15,320.10 = 9,133.40 : x
  2. Step 2: Convert to fraction form
    10,227.80/15,320.10 = 9,133.40/x
  3. Step 3: Cross multiply
    10,227.80x = 15,320.10 × 9,133.40
  4. Step 4: Simplify right side
    10,227.80x = 139,924,601.34
  5. Step 5: Solve for x
    x = 139,924,601.34/10,227.80
  6. Step 6: Final answer
    x = 13,680.81

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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.