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Finding the Fourth Proportional to 21,778.28, 30,050.92 and 12,345

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Solution

The fourth proportional to 21,778.28, 30,050.92 and 12,345 is: 17,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,778.28 : 30,050.92 = 12,345 : x
  2. Step 2: Convert to fraction form
    21,778.28/30,050.92 = 12,345/x
  3. Step 3: Cross multiply
    21,778.28x = 30,050.92 × 12,345
  4. Step 4: Simplify right side
    21,778.28x = 370,978,607.40
  5. Step 5: Solve for x
    x = 370,978,607.40/21,778.28
  6. Step 6: Final answer
    x = 17,034.34

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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.