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Finding the Fourth Proportional to 23,673.44, 35,526 and 9,822.44

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Solution

The fourth proportional to 23,673.44, 35,526 and 9,822.44 is: 14,740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,673.44 : 35,526 = 9,822.44 : x
  2. Step 2: Convert to fraction form
    23,673.44/35,526 = 9,822.44/x
  3. Step 3: Cross multiply
    23,673.44x = 35,526 × 9,822.44
  4. Step 4: Simplify right side
    23,673.44x = 348,952,003.44
  5. Step 5: Solve for x
    x = 348,952,003.44/23,673.44
  6. Step 6: Final answer
    x = 14,740.23

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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.