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Finding the Fourth Proportional to 21,214.50, 31,836.36 and 7,363.50

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Solution

The fourth proportional to 21,214.50, 31,836.36 and 7,363.50 is: 11,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.50 : 31,836.36 = 7,363.50 : x
  2. Step 2: Convert to fraction form
    21,214.50/31,836.36 = 7,363.50/x
  3. Step 3: Cross multiply
    21,214.50x = 31,836.36 × 7,363.50
  4. Step 4: Simplify right side
    21,214.50x = 234,427,036.86
  5. Step 5: Solve for x
    x = 234,427,036.86/21,214.50
  6. Step 6: Final answer
    x = 11,050.32

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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.