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Finding the Fourth Proportional to 21,851.19, 30,154.67 and 12,419.75

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Solution

The fourth proportional to 21,851.19, 30,154.67 and 12,419.75 is: 17,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,851.19 : 30,154.67 = 12,419.75 : x
  2. Step 2: Convert to fraction form
    21,851.19/30,154.67 = 12,419.75/x
  3. Step 3: Cross multiply
    21,851.19x = 30,154.67 × 12,419.75
  4. Step 4: Simplify right side
    21,851.19x = 374,513,462.73
  5. Step 5: Solve for x
    x = 374,513,462.73/21,851.19
  6. Step 6: Final answer
    x = 17,139.27

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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.