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Finding the Fourth Proportional to 21,710.70, 32,578.20 and 9,228.60

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Solution

The fourth proportional to 21,710.70, 32,578.20 and 9,228.60 is: 13,848.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,710.70 : 32,578.20 = 9,228.60 : x
  2. Step 2: Convert to fraction form
    21,710.70/32,578.20 = 9,228.60/x
  3. Step 3: Cross multiply
    21,710.70x = 32,578.20 × 9,228.60
  4. Step 4: Simplify right side
    21,710.70x = 300,651,176.52
  5. Step 5: Solve for x
    x = 300,651,176.52/21,710.70
  6. Step 6: Final answer
    x = 13,848.06

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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.