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Finding the Fourth Proportional to 16,147, 24,228.74 and 6,666.32

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Solution

The fourth proportional to 16,147, 24,228.74 and 6,666.32 is: 10,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147 : 24,228.74 = 6,666.32 : x
  2. Step 2: Convert to fraction form
    16,147/24,228.74 = 6,666.32/x
  3. Step 3: Cross multiply
    16,147x = 24,228.74 × 6,666.32
  4. Step 4: Simplify right side
    16,147x = 161,516,534.04
  5. Step 5: Solve for x
    x = 161,516,534.04/16,147
  6. Step 6: Final answer
    x = 10,002.88

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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.