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Finding the Fourth Proportional to 21,980.50, 32,970.74 and 5,340.41

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Solution

The fourth proportional to 21,980.50, 32,970.74 and 5,340.41 is: 8,010.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.50 : 32,970.74 = 5,340.41 : x
  2. Step 2: Convert to fraction form
    21,980.50/32,970.74 = 5,340.41/x
  3. Step 3: Cross multiply
    21,980.50x = 32,970.74 × 5,340.41
  4. Step 4: Simplify right side
    21,980.50x = 176,077,269.60
  5. Step 5: Solve for x
    x = 176,077,269.60/21,980.50
  6. Step 6: Final answer
    x = 8,010.61

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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.