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Finding the Fourth Proportional to 21,324.52, 31,988.06 and 6,533.56

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Solution

The fourth proportional to 21,324.52, 31,988.06 and 6,533.56 is: 9,800.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.52 : 31,988.06 = 6,533.56 : x
  2. Step 2: Convert to fraction form
    21,324.52/31,988.06 = 6,533.56/x
  3. Step 3: Cross multiply
    21,324.52x = 31,988.06 × 6,533.56
  4. Step 4: Simplify right side
    21,324.52x = 208,995,977.86
  5. Step 5: Solve for x
    x = 208,995,977.86/21,324.52
  6. Step 6: Final answer
    x = 9,800.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.