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Finding the Fourth Proportional to 16,564.56, 24,846.16 and 5,470.92

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Solution

The fourth proportional to 16,564.56, 24,846.16 and 5,470.92 is: 8,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.56 : 24,846.16 = 5,470.92 : x
  2. Step 2: Convert to fraction form
    16,564.56/24,846.16 = 5,470.92/x
  3. Step 3: Cross multiply
    16,564.56x = 24,846.16 × 5,470.92
  4. Step 4: Simplify right side
    16,564.56x = 135,931,353.67
  5. Step 5: Solve for x
    x = 135,931,353.67/16,564.56
  6. Step 6: Final answer
    x = 8,206.16

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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.