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Finding the Fourth Proportional to 16,026.06, 24,027.75 and 6,157.02

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Solution

The fourth proportional to 16,026.06, 24,027.75 and 6,157.02 is: 9,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,026.06 : 24,027.75 = 6,157.02 : x
  2. Step 2: Convert to fraction form
    16,026.06/24,027.75 = 6,157.02/x
  3. Step 3: Cross multiply
    16,026.06x = 24,027.75 × 6,157.02
  4. Step 4: Simplify right side
    16,026.06x = 147,939,337.31
  5. Step 5: Solve for x
    x = 147,939,337.31/16,026.06
  6. Step 6: Final answer
    x = 9,231.17

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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.