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Finding the Fourth Proportional to 21,943.92, 32,916.69 and 10,254

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Solution

The fourth proportional to 21,943.92, 32,916.69 and 10,254 is: 15,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,943.92 : 32,916.69 = 10,254 : x
  2. Step 2: Convert to fraction form
    21,943.92/32,916.69 = 10,254/x
  3. Step 3: Cross multiply
    21,943.92x = 32,916.69 × 10,254
  4. Step 4: Simplify right side
    21,943.92x = 337,527,739.26
  5. Step 5: Solve for x
    x = 337,527,739.26/21,943.92
  6. Step 6: Final answer
    x = 15,381.38

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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.