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Finding the Fourth Proportional to 16,210.56, 24,317.12 and 4,523.84

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Solution

The fourth proportional to 16,210.56, 24,317.12 and 4,523.84 is: 6,786.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,210.56 : 24,317.12 = 4,523.84 : x
  2. Step 2: Convert to fraction form
    16,210.56/24,317.12 = 4,523.84/x
  3. Step 3: Cross multiply
    16,210.56x = 24,317.12 × 4,523.84
  4. Step 4: Simplify right side
    16,210.56x = 110,006,760.14
  5. Step 5: Solve for x
    x = 110,006,760.14/16,210.56
  6. Step 6: Final answer
    x = 6,786.12

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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.