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Finding the Fourth Proportional to 21,662.70, 32,507 and 9,350.70

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Solution

The fourth proportional to 21,662.70, 32,507 and 9,350.70 is: 14,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.70 : 32,507 = 9,350.70 : x
  2. Step 2: Convert to fraction form
    21,662.70/32,507 = 9,350.70/x
  3. Step 3: Cross multiply
    21,662.70x = 32,507 × 9,350.70
  4. Step 4: Simplify right side
    21,662.70x = 303,963,204.90
  5. Step 5: Solve for x
    x = 303,963,204.90/21,662.70
  6. Step 6: Final answer
    x = 14,031.64

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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.