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Finding the Fourth Proportional to 16,064.68, 24,097.66 and 4,377.86

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Solution

The fourth proportional to 16,064.68, 24,097.66 and 4,377.86 is: 6,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064.68 : 24,097.66 = 4,377.86 : x
  2. Step 2: Convert to fraction form
    16,064.68/24,097.66 = 4,377.86/x
  3. Step 3: Cross multiply
    16,064.68x = 24,097.66 × 4,377.86
  4. Step 4: Simplify right side
    16,064.68x = 105,496,181.81
  5. Step 5: Solve for x
    x = 105,496,181.81/16,064.68
  6. Step 6: Final answer
    x = 6,566.96

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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.