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Finding the Fourth Proportional to 21,655, 32,495.46 and 9,343

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Solution

The fourth proportional to 21,655, 32,495.46 and 9,343 is: 14,020.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,655 : 32,495.46 = 9,343 : x
  2. Step 2: Convert to fraction form
    21,655/32,495.46 = 9,343/x
  3. Step 3: Cross multiply
    21,655x = 32,495.46 × 9,343
  4. Step 4: Simplify right side
    21,655x = 303,605,082.78
  5. Step 5: Solve for x
    x = 303,605,082.78/21,655
  6. Step 6: Final answer
    x = 14,020.09

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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.