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Finding the Fourth Proportional to 21,853.90, 32,780.86 and 5,437.90

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Solution

The fourth proportional to 21,853.90, 32,780.86 and 5,437.90 is: 8,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,853.90 : 32,780.86 = 5,437.90 : x
  2. Step 2: Convert to fraction form
    21,853.90/32,780.86 = 5,437.90/x
  3. Step 3: Cross multiply
    21,853.90x = 32,780.86 × 5,437.90
  4. Step 4: Simplify right side
    21,853.90x = 178,259,038.59
  5. Step 5: Solve for x
    x = 178,259,038.59/21,853.90
  6. Step 6: Final answer
    x = 8,156.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.