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Finding the Fourth Proportional to 16,349.42, 24,538.71 and 7,589.27

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Solution

The fourth proportional to 16,349.42, 24,538.71 and 7,589.27 is: 11,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.42 : 24,538.71 = 7,589.27 : x
  2. Step 2: Convert to fraction form
    16,349.42/24,538.71 = 7,589.27/x
  3. Step 3: Cross multiply
    16,349.42x = 24,538.71 × 7,589.27
  4. Step 4: Simplify right side
    16,349.42x = 186,230,985.45
  5. Step 5: Solve for x
    x = 186,230,985.45/16,349.42
  6. Step 6: Final answer
    x = 11,390.68

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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.