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Finding the Fourth Proportional to 21,978.50, 32,969.27 and 8,830.86

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Solution

The fourth proportional to 21,978.50, 32,969.27 and 8,830.86 is: 13,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.50 : 32,969.27 = 8,830.86 : x
  2. Step 2: Convert to fraction form
    21,978.50/32,969.27 = 8,830.86/x
  3. Step 3: Cross multiply
    21,978.50x = 32,969.27 × 8,830.86
  4. Step 4: Simplify right side
    21,978.50x = 291,147,007.67
  5. Step 5: Solve for x
    x = 291,147,007.67/21,978.50
  6. Step 6: Final answer
    x = 13,246.90

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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.