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Finding the Fourth Proportional to 15,744, 23,616 and 6,510.24

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Solution

The fourth proportional to 15,744, 23,616 and 6,510.24 is: 9,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744 : 23,616 = 6,510.24 : x
  2. Step 2: Convert to fraction form
    15,744/23,616 = 6,510.24/x
  3. Step 3: Cross multiply
    15,744x = 23,616 × 6,510.24
  4. Step 4: Simplify right side
    15,744x = 153,745,827.84
  5. Step 5: Solve for x
    x = 153,745,827.84/15,744
  6. Step 6: Final answer
    x = 9,765.36

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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.