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Finding the Fourth Proportional to 13,232, 19,852.80 and 7,393.52

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Solution

The fourth proportional to 13,232, 19,852.80 and 7,393.52 is: 11,092.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232 : 19,852.80 = 7,393.52 : x
  2. Step 2: Convert to fraction form
    13,232/19,852.80 = 7,393.52/x
  3. Step 3: Cross multiply
    13,232x = 19,852.80 × 7,393.52
  4. Step 4: Simplify right side
    13,232x = 146,782,073.86
  5. Step 5: Solve for x
    x = 146,782,073.86/13,232
  6. Step 6: Final answer
    x = 11,092.96

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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.