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Finding the Fourth Proportional to 21,503.82, 32,282.04 and 12,150.42

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Solution

The fourth proportional to 21,503.82, 32,282.04 and 12,150.42 is: 18,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,503.82 : 32,282.04 = 12,150.42 : x
  2. Step 2: Convert to fraction form
    21,503.82/32,282.04 = 12,150.42/x
  3. Step 3: Cross multiply
    21,503.82x = 32,282.04 × 12,150.42
  4. Step 4: Simplify right side
    21,503.82x = 392,240,344.46
  5. Step 5: Solve for x
    x = 392,240,344.46/21,503.82
  6. Step 6: Final answer
    x = 18,240.50

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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.