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Finding the Fourth Proportional to 22,865.90, 34,313.46 and 9,718.28

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Solution

The fourth proportional to 22,865.90, 34,313.46 and 9,718.28 is: 14,583.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.90 : 34,313.46 = 9,718.28 : x
  2. Step 2: Convert to fraction form
    22,865.90/34,313.46 = 9,718.28/x
  3. Step 3: Cross multiply
    22,865.90x = 34,313.46 × 9,718.28
  4. Step 4: Simplify right side
    22,865.90x = 333,467,732.71
  5. Step 5: Solve for x
    x = 333,467,732.71/22,865.90
  6. Step 6: Final answer
    x = 14,583.63

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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.