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Finding the Fourth Proportional to 22,419.78, 30,938.10 and 12,859.16

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Solution

The fourth proportional to 22,419.78, 30,938.10 and 12,859.16 is: 17,744.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,419.78 : 30,938.10 = 12,859.16 : x
  2. Step 2: Convert to fraction form
    22,419.78/30,938.10 = 12,859.16/x
  3. Step 3: Cross multiply
    22,419.78x = 30,938.10 × 12,859.16
  4. Step 4: Simplify right side
    22,419.78x = 397,837,978.00
  5. Step 5: Solve for x
    x = 397,837,978.00/22,419.78
  6. Step 6: Final answer
    x = 17,744.95

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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.