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Finding the Fourth Proportional to 21,876.40, 32,807.40 and 8,023.60

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Solution

The fourth proportional to 21,876.40, 32,807.40 and 8,023.60 is: 12,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.40 : 32,807.40 = 8,023.60 : x
  2. Step 2: Convert to fraction form
    21,876.40/32,807.40 = 8,023.60/x
  3. Step 3: Cross multiply
    21,876.40x = 32,807.40 × 8,023.60
  4. Step 4: Simplify right side
    21,876.40x = 263,233,454.64
  5. Step 5: Solve for x
    x = 263,233,454.64/21,876.40
  6. Step 6: Final answer
    x = 12,032.76

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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.