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Finding the Fourth Proportional to 21,764.90, 32,647.35 and 6,180.50

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Solution

The fourth proportional to 21,764.90, 32,647.35 and 6,180.50 is: 9,270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.90 : 32,647.35 = 6,180.50 : x
  2. Step 2: Convert to fraction form
    21,764.90/32,647.35 = 6,180.50/x
  3. Step 3: Cross multiply
    21,764.90x = 32,647.35 × 6,180.50
  4. Step 4: Simplify right side
    21,764.90x = 201,777,051.47
  5. Step 5: Solve for x
    x = 201,777,051.47/21,764.90
  6. Step 6: Final answer
    x = 9,270.75

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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.