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Finding the Fourth Proportional to 16,742.34, 25,114.28 and 5,649.12

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Solution

The fourth proportional to 16,742.34, 25,114.28 and 5,649.12 is: 8,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,742.34 : 25,114.28 = 5,649.12 : x
  2. Step 2: Convert to fraction form
    16,742.34/25,114.28 = 5,649.12/x
  3. Step 3: Cross multiply
    16,742.34x = 25,114.28 × 5,649.12
  4. Step 4: Simplify right side
    16,742.34x = 141,873,657.37
  5. Step 5: Solve for x
    x = 141,873,657.37/16,742.34
  6. Step 6: Final answer
    x = 8,473.94

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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.