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Finding the Fourth Proportional to 21,618.48, 32,427.72 and 12,378

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Solution

The fourth proportional to 21,618.48, 32,427.72 and 12,378 is: 18,567

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,618.48 : 32,427.72 = 12,378 : x
  2. Step 2: Convert to fraction form
    21,618.48/32,427.72 = 12,378/x
  3. Step 3: Cross multiply
    21,618.48x = 32,427.72 × 12,378
  4. Step 4: Simplify right side
    21,618.48x = 401,390,318.16
  5. Step 5: Solve for x
    x = 401,390,318.16/21,618.48
  6. Step 6: Final answer
    x = 18,567

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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.