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Finding the Fourth Proportional to 15,336, 23,004 and 6,108.48

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Solution

The fourth proportional to 15,336, 23,004 and 6,108.48 is: 9,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,336 : 23,004 = 6,108.48 : x
  2. Step 2: Convert to fraction form
    15,336/23,004 = 6,108.48/x
  3. Step 3: Cross multiply
    15,336x = 23,004 × 6,108.48
  4. Step 4: Simplify right side
    15,336x = 140,519,473.92
  5. Step 5: Solve for x
    x = 140,519,473.92/15,336
  6. Step 6: Final answer
    x = 9,162.72

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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.