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Finding the Fourth Proportional to 16,057.06, 24,026.46 and 9,709.30

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Solution

The fourth proportional to 16,057.06, 24,026.46 and 9,709.30 is: 14,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.06 : 24,026.46 = 9,709.30 : x
  2. Step 2: Convert to fraction form
    16,057.06/24,026.46 = 9,709.30/x
  3. Step 3: Cross multiply
    16,057.06x = 24,026.46 × 9,709.30
  4. Step 4: Simplify right side
    16,057.06x = 233,280,108.08
  5. Step 5: Solve for x
    x = 233,280,108.08/16,057.06
  6. Step 6: Final answer
    x = 14,528.20

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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.