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Finding the Fourth Proportional to 21,443.50, 32,157.35 and 7,399.94

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Solution

The fourth proportional to 21,443.50, 32,157.35 and 7,399.94 is: 11,097.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,443.50 : 32,157.35 = 7,399.94 : x
  2. Step 2: Convert to fraction form
    21,443.50/32,157.35 = 7,399.94/x
  3. Step 3: Cross multiply
    21,443.50x = 32,157.35 × 7,399.94
  4. Step 4: Simplify right side
    21,443.50x = 237,962,423.56
  5. Step 5: Solve for x
    x = 237,962,423.56/21,443.50
  6. Step 6: Final answer
    x = 11,097.18

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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.