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Finding the Fourth Proportional to 21,841.50, 30,140.19 and 12,409.86

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Solution

The fourth proportional to 21,841.50, 30,140.19 and 12,409.86 is: 17,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.50 : 30,140.19 = 12,409.86 : x
  2. Step 2: Convert to fraction form
    21,841.50/30,140.19 = 12,409.86/x
  3. Step 3: Cross multiply
    21,841.50x = 30,140.19 × 12,409.86
  4. Step 4: Simplify right side
    21,841.50x = 374,035,538.27
  5. Step 5: Solve for x
    x = 374,035,538.27/21,841.50
  6. Step 6: Final answer
    x = 17,124.99

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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.