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Finding the Fourth Proportional to 13,232, 19,838.24 and 6,311.36

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Solution

The fourth proportional to 13,232, 19,838.24 and 6,311.36 is: 9,462.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232 : 19,838.24 = 6,311.36 : x
  2. Step 2: Convert to fraction form
    13,232/19,838.24 = 6,311.36/x
  3. Step 3: Cross multiply
    13,232x = 19,838.24 × 6,311.36
  4. Step 4: Simplify right side
    13,232x = 125,206,274.41
  5. Step 5: Solve for x
    x = 125,206,274.41/13,232
  6. Step 6: Final answer
    x = 9,462.38

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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.