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Finding the Fourth Proportional to 16,142.59, 24,214.80 and 5,754.34

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Solution

The fourth proportional to 16,142.59, 24,214.80 and 5,754.34 is: 8,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.59 : 24,214.80 = 5,754.34 : x
  2. Step 2: Convert to fraction form
    16,142.59/24,214.80 = 5,754.34/x
  3. Step 3: Cross multiply
    16,142.59x = 24,214.80 × 5,754.34
  4. Step 4: Simplify right side
    16,142.59x = 139,340,192.23
  5. Step 5: Solve for x
    x = 139,340,192.23/16,142.59
  6. Step 6: Final answer
    x = 8,631.84

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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.