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Finding the Fourth Proportional to 21,849.33, 30,154.64 and 12,419.31

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Solution

The fourth proportional to 21,849.33, 30,154.64 and 12,419.31 is: 17,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,849.33 : 30,154.64 = 12,419.31 : x
  2. Step 2: Convert to fraction form
    21,849.33/30,154.64 = 12,419.31/x
  3. Step 3: Cross multiply
    21,849.33x = 30,154.64 × 12,419.31
  4. Step 4: Simplify right side
    21,849.33x = 374,499,822.10
  5. Step 5: Solve for x
    x = 374,499,822.10/21,849.33
  6. Step 6: Final answer
    x = 17,140.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.