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Finding the Fourth Proportional to 10,223.40, 15,356.70 and 9,856.20

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Solution

The fourth proportional to 10,223.40, 15,356.70 and 9,856.20 is: 14,805.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.40 : 15,356.70 = 9,856.20 : x
  2. Step 2: Convert to fraction form
    10,223.40/15,356.70 = 9,856.20/x
  3. Step 3: Cross multiply
    10,223.40x = 15,356.70 × 9,856.20
  4. Step 4: Simplify right side
    10,223.40x = 151,358,706.54
  5. Step 5: Solve for x
    x = 151,358,706.54/10,223.40
  6. Step 6: Final answer
    x = 14,805.12

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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.