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Finding the Fourth Proportional to 22,002.88, 32,990.28 and 9,345.84

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Solution

The fourth proportional to 22,002.88, 32,990.28 and 9,345.84 is: 14,012.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.88 : 32,990.28 = 9,345.84 : x
  2. Step 2: Convert to fraction form
    22,002.88/32,990.28 = 9,345.84/x
  3. Step 3: Cross multiply
    22,002.88x = 32,990.28 × 9,345.84
  4. Step 4: Simplify right side
    22,002.88x = 308,321,878.44
  5. Step 5: Solve for x
    x = 308,321,878.44/22,002.88
  6. Step 6: Final answer
    x = 14,012.80

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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.