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Finding the Fourth Proportional to 21,107.20, 31,665.60 and 12,337.60

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Solution

The fourth proportional to 21,107.20, 31,665.60 and 12,337.60 is: 18,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,107.20 : 31,665.60 = 12,337.60 : x
  2. Step 2: Convert to fraction form
    21,107.20/31,665.60 = 12,337.60/x
  3. Step 3: Cross multiply
    21,107.20x = 31,665.60 × 12,337.60
  4. Step 4: Simplify right side
    21,107.20x = 390,677,506.56
  5. Step 5: Solve for x
    x = 390,677,506.56/21,107.20
  6. Step 6: Final answer
    x = 18,509.21

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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.