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Finding the Fourth Proportional to 14,866.56, 22,295.16 and 5,377.64

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Solution

The fourth proportional to 14,866.56, 22,295.16 and 5,377.64 is: 8,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.56 : 22,295.16 = 5,377.64 : x
  2. Step 2: Convert to fraction form
    14,866.56/22,295.16 = 5,377.64/x
  3. Step 3: Cross multiply
    14,866.56x = 22,295.16 × 5,377.64
  4. Step 4: Simplify right side
    14,866.56x = 119,895,344.22
  5. Step 5: Solve for x
    x = 119,895,344.22/14,866.56
  6. Step 6: Final answer
    x = 8,064.77

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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.