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Finding the Fourth Proportional to 16,223.90, 24,335.84 and 7,464.96

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Solution

The fourth proportional to 16,223.90, 24,335.84 and 7,464.96 is: 11,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,223.90 : 24,335.84 = 7,464.96 : x
  2. Step 2: Convert to fraction form
    16,223.90/24,335.84 = 7,464.96/x
  3. Step 3: Cross multiply
    16,223.90x = 24,335.84 × 7,464.96
  4. Step 4: Simplify right side
    16,223.90x = 181,666,090.83
  5. Step 5: Solve for x
    x = 181,666,090.83/16,223.90
  6. Step 6: Final answer
    x = 11,197.44

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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.