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Finding the Fourth Proportional to 21,355.61, 32,011.13 and 7,311.50

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Solution

The fourth proportional to 21,355.61, 32,011.13 and 7,311.50 is: 10,959.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.61 : 32,011.13 = 7,311.50 : x
  2. Step 2: Convert to fraction form
    21,355.61/32,011.13 = 7,311.50/x
  3. Step 3: Cross multiply
    21,355.61x = 32,011.13 × 7,311.50
  4. Step 4: Simplify right side
    21,355.61x = 234,049,340.44
  5. Step 5: Solve for x
    x = 234,049,340.44/21,355.61
  6. Step 6: Final answer
    x = 10,959.62

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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.