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Finding the Fourth Proportional to 15,440, 23,163.92 and 4,496

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Solution

The fourth proportional to 15,440, 23,163.92 and 4,496 is: 6,745.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,440 : 23,163.92 = 4,496 : x
  2. Step 2: Convert to fraction form
    15,440/23,163.92 = 4,496/x
  3. Step 3: Cross multiply
    15,440x = 23,163.92 × 4,496
  4. Step 4: Simplify right side
    15,440x = 104,144,984.32
  5. Step 5: Solve for x
    x = 104,144,984.32/15,440
  6. Step 6: Final answer
    x = 6,745.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.