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Finding the Fourth Proportional to 21,854.08, 30,161.22 and 12,424.06

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Solution

The fourth proportional to 21,854.08, 30,161.22 and 12,424.06 is: 17,146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.08 : 30,161.22 = 12,424.06 : x
  2. Step 2: Convert to fraction form
    21,854.08/30,161.22 = 12,424.06/x
  3. Step 3: Cross multiply
    21,854.08x = 30,161.22 × 12,424.06
  4. Step 4: Simplify right side
    21,854.08x = 374,724,806.95
  5. Step 5: Solve for x
    x = 374,724,806.95/21,854.08
  6. Step 6: Final answer
    x = 17,146.67

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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.