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Finding the Fourth Proportional to 22,978.68, 34,468.86 and 8,188.68

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Solution

The fourth proportional to 22,978.68, 34,468.86 and 8,188.68 is: 12,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,978.68 : 34,468.86 = 8,188.68 : x
  2. Step 2: Convert to fraction form
    22,978.68/34,468.86 = 8,188.68/x
  3. Step 3: Cross multiply
    22,978.68x = 34,468.86 × 8,188.68
  4. Step 4: Simplify right side
    22,978.68x = 282,254,464.50
  5. Step 5: Solve for x
    x = 282,254,464.50/22,978.68
  6. Step 6: Final answer
    x = 12,283.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.