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Finding the Fourth Proportional to 21,837.78, 30,135.54 and 12,406.14

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Solution

The fourth proportional to 21,837.78, 30,135.54 and 12,406.14 is: 17,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.78 : 30,135.54 = 12,406.14 : x
  2. Step 2: Convert to fraction form
    21,837.78/30,135.54 = 12,406.14/x
  3. Step 3: Cross multiply
    21,837.78x = 30,135.54 × 12,406.14
  4. Step 4: Simplify right side
    21,837.78x = 373,865,728.22
  5. Step 5: Solve for x
    x = 373,865,728.22/21,837.78
  6. Step 6: Final answer
    x = 17,120.13

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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.