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Finding the Fourth Proportional to 15,735.74, 21,718.46 and 9,025.90

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Solution

The fourth proportional to 15,735.74, 21,718.46 and 9,025.90 is: 12,457.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,735.74 : 21,718.46 = 9,025.90 : x
  2. Step 2: Convert to fraction form
    15,735.74/21,718.46 = 9,025.90/x
  3. Step 3: Cross multiply
    15,735.74x = 21,718.46 × 9,025.90
  4. Step 4: Simplify right side
    15,735.74x = 196,028,616.38
  5. Step 5: Solve for x
    x = 196,028,616.38/15,735.74
  6. Step 6: Final answer
    x = 12,457.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.