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Finding the Fourth Proportional to 21,493.98, 32,194.23 and 13,148.76

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Solution

The fourth proportional to 21,493.98, 32,194.23 and 13,148.76 is: 19,694.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,493.98 : 32,194.23 = 13,148.76 : x
  2. Step 2: Convert to fraction form
    21,493.98/32,194.23 = 13,148.76/x
  3. Step 3: Cross multiply
    21,493.98x = 32,194.23 × 13,148.76
  4. Step 4: Simplify right side
    21,493.98x = 423,314,203.65
  5. Step 5: Solve for x
    x = 423,314,203.65/21,493.98
  6. Step 6: Final answer
    x = 19,694.55

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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.