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Finding the Fourth Proportional to 15,238.32, 22,838.64 and 8,992

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Solution

The fourth proportional to 15,238.32, 22,838.64 and 8,992 is: 13,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238.32 : 22,838.64 = 8,992 : x
  2. Step 2: Convert to fraction form
    15,238.32/22,838.64 = 8,992/x
  3. Step 3: Cross multiply
    15,238.32x = 22,838.64 × 8,992
  4. Step 4: Simplify right side
    15,238.32x = 205,365,050.88
  5. Step 5: Solve for x
    x = 205,365,050.88/15,238.32
  6. Step 6: Final answer
    x = 13,476.88

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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.