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Finding the Fourth Proportional to 21,982.95, 32,965.74 and 6,984.68

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Solution

The fourth proportional to 21,982.95, 32,965.74 and 6,984.68 is: 10,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,982.95 : 32,965.74 = 6,984.68 : x
  2. Step 2: Convert to fraction form
    21,982.95/32,965.74 = 6,984.68/x
  3. Step 3: Cross multiply
    21,982.95x = 32,965.74 × 6,984.68
  4. Step 4: Simplify right side
    21,982.95x = 230,254,980.03
  5. Step 5: Solve for x
    x = 230,254,980.03/21,982.95
  6. Step 6: Final answer
    x = 10,474.25

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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.