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Finding the Fourth Proportional to 16,241.95, 24,359.28 and 7,468.44

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Solution

The fourth proportional to 16,241.95, 24,359.28 and 7,468.44 is: 11,200.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.95 : 24,359.28 = 7,468.44 : x
  2. Step 2: Convert to fraction form
    16,241.95/24,359.28 = 7,468.44/x
  3. Step 3: Cross multiply
    16,241.95x = 24,359.28 × 7,468.44
  4. Step 4: Simplify right side
    16,241.95x = 181,925,821.12
  5. Step 5: Solve for x
    x = 181,925,821.12/16,241.95
  6. Step 6: Final answer
    x = 11,200.98

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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.