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Finding the Fourth Proportional to 21,523.74, 32,288.85 and 7,669.50

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Solution

The fourth proportional to 21,523.74, 32,288.85 and 7,669.50 is: 11,505.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.74 : 32,288.85 = 7,669.50 : x
  2. Step 2: Convert to fraction form
    21,523.74/32,288.85 = 7,669.50/x
  3. Step 3: Cross multiply
    21,523.74x = 32,288.85 × 7,669.50
  4. Step 4: Simplify right side
    21,523.74x = 247,639,335.08
  5. Step 5: Solve for x
    x = 247,639,335.08/21,523.74
  6. Step 6: Final answer
    x = 11,505.40

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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.