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Finding the Fourth Proportional to 16,298.94, 24,448.41 and 5,770.02

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Solution

The fourth proportional to 16,298.94, 24,448.41 and 5,770.02 is: 8,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.94 : 24,448.41 = 5,770.02 : x
  2. Step 2: Convert to fraction form
    16,298.94/24,448.41 = 5,770.02/x
  3. Step 3: Cross multiply
    16,298.94x = 24,448.41 × 5,770.02
  4. Step 4: Simplify right side
    16,298.94x = 141,067,814.67
  5. Step 5: Solve for x
    x = 141,067,814.67/16,298.94
  6. Step 6: Final answer
    x = 8,655.03

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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.