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Finding the Fourth Proportional to 14,814.34, 22,221.74 and 5,456.57

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Solution

The fourth proportional to 14,814.34, 22,221.74 and 5,456.57 is: 8,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.34 : 22,221.74 = 5,456.57 : x
  2. Step 2: Convert to fraction form
    14,814.34/22,221.74 = 5,456.57/x
  3. Step 3: Cross multiply
    14,814.34x = 22,221.74 × 5,456.57
  4. Step 4: Simplify right side
    14,814.34x = 121,254,382.36
  5. Step 5: Solve for x
    x = 121,254,382.36/14,814.34
  6. Step 6: Final answer
    x = 8,184.93

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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.