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Finding the Fourth Proportional to 13,233.70, 19,852.98 and 4,468.96

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Solution

The fourth proportional to 13,233.70, 19,852.98 and 4,468.96 is: 6,704.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,233.70 : 19,852.98 = 4,468.96 : x
  2. Step 2: Convert to fraction form
    13,233.70/19,852.98 = 4,468.96/x
  3. Step 3: Cross multiply
    13,233.70x = 19,852.98 × 4,468.96
  4. Step 4: Simplify right side
    13,233.70x = 88,722,173.50
  5. Step 5: Solve for x
    x = 88,722,173.50/13,233.70
  6. Step 6: Final answer
    x = 6,704.26

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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.