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Finding the Fourth Proportional to 16,130.50, 24,197.82 and 5,742.34

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Solution

The fourth proportional to 16,130.50, 24,197.82 and 5,742.34 is: 8,614.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130.50 : 24,197.82 = 5,742.34 : x
  2. Step 2: Convert to fraction form
    16,130.50/24,197.82 = 5,742.34/x
  3. Step 3: Cross multiply
    16,130.50x = 24,197.82 × 5,742.34
  4. Step 4: Simplify right side
    16,130.50x = 138,952,109.70
  5. Step 5: Solve for x
    x = 138,952,109.70/16,130.50
  6. Step 6: Final answer
    x = 8,614.25

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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.