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Finding the Fourth Proportional to 16,064, 24,097.26 and 4,377.68

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Solution

The fourth proportional to 16,064, 24,097.26 and 4,377.68 is: 6,566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,064 : 24,097.26 = 4,377.68 : x
  2. Step 2: Convert to fraction form
    16,064/24,097.26 = 4,377.68/x
  3. Step 3: Cross multiply
    16,064x = 24,097.26 × 4,377.68
  4. Step 4: Simplify right side
    16,064x = 105,490,093.16
  5. Step 5: Solve for x
    x = 105,490,093.16/16,064
  6. Step 6: Final answer
    x = 6,566.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.