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Finding the Fourth Proportional to 21,660.81, 32,483.01 and 8,506

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Solution

The fourth proportional to 21,660.81, 32,483.01 and 8,506 is: 12,755.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,660.81 : 32,483.01 = 8,506 : x
  2. Step 2: Convert to fraction form
    21,660.81/32,483.01 = 8,506/x
  3. Step 3: Cross multiply
    21,660.81x = 32,483.01 × 8,506
  4. Step 4: Simplify right side
    21,660.81x = 276,300,483.06
  5. Step 5: Solve for x
    x = 276,300,483.06/21,660.81
  6. Step 6: Final answer
    x = 12,755.78

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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.