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Finding the Fourth Proportional to 21,339.58, 31,987.50 and 8,188.42

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Solution

The fourth proportional to 21,339.58, 31,987.50 and 8,188.42 is: 12,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,339.58 : 31,987.50 = 8,188.42 : x
  2. Step 2: Convert to fraction form
    21,339.58/31,987.50 = 8,188.42/x
  3. Step 3: Cross multiply
    21,339.58x = 31,987.50 × 8,188.42
  4. Step 4: Simplify right side
    21,339.58x = 261,927,084.75
  5. Step 5: Solve for x
    x = 261,927,084.75/21,339.58
  6. Step 6: Final answer
    x = 12,274.24

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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.