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Finding the Fourth Proportional to 21,858.46, 32,780.70 and 7,064.31

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Solution

The fourth proportional to 21,858.46, 32,780.70 and 7,064.31 is: 10,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858.46 : 32,780.70 = 7,064.31 : x
  2. Step 2: Convert to fraction form
    21,858.46/32,780.70 = 7,064.31/x
  3. Step 3: Cross multiply
    21,858.46x = 32,780.70 × 7,064.31
  4. Step 4: Simplify right side
    21,858.46x = 231,573,149.74
  5. Step 5: Solve for x
    x = 231,573,149.74/21,858.46
  6. Step 6: Final answer
    x = 10,594.21

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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.