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Finding the Fourth Proportional to 21,841.92, 30,144.32 and 12,412.08

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Solution

The fourth proportional to 21,841.92, 30,144.32 and 12,412.08 is: 17,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841.92 : 30,144.32 = 12,412.08 : x
  2. Step 2: Convert to fraction form
    21,841.92/30,144.32 = 12,412.08/x
  3. Step 3: Cross multiply
    21,841.92x = 30,144.32 × 12,412.08
  4. Step 4: Simplify right side
    21,841.92x = 374,153,711.39
  5. Step 5: Solve for x
    x = 374,153,711.39/21,841.92
  6. Step 6: Final answer
    x = 17,130.07

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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.