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Finding the Fourth Proportional to 21,148.54, 29,188.10 and 12,194.30

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Solution

The fourth proportional to 21,148.54, 29,188.10 and 12,194.30 is: 16,829.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,148.54 : 29,188.10 = 12,194.30 : x
  2. Step 2: Convert to fraction form
    21,148.54/29,188.10 = 12,194.30/x
  3. Step 3: Cross multiply
    21,148.54x = 29,188.10 × 12,194.30
  4. Step 4: Simplify right side
    21,148.54x = 355,928,447.83
  5. Step 5: Solve for x
    x = 355,928,447.83/21,148.54
  6. Step 6: Final answer
    x = 16,829.93

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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.