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Finding the Fourth Proportional to 21,486.52, 32,187.90 and 12,097.84

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Solution

The fourth proportional to 21,486.52, 32,187.90 and 12,097.84 is: 18,123.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.52 : 32,187.90 = 12,097.84 : x
  2. Step 2: Convert to fraction form
    21,486.52/32,187.90 = 12,097.84/x
  3. Step 3: Cross multiply
    21,486.52x = 32,187.90 × 12,097.84
  4. Step 4: Simplify right side
    21,486.52x = 389,404,064.14
  5. Step 5: Solve for x
    x = 389,404,064.14/21,486.52
  6. Step 6: Final answer
    x = 18,123.18

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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.