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Finding the Fourth Proportional to 14,893.60, 22,326 and 5,530.96

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Solution

The fourth proportional to 14,893.60, 22,326 and 5,530.96 is: 8,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,893.60 : 22,326 = 5,530.96 : x
  2. Step 2: Convert to fraction form
    14,893.60/22,326 = 5,530.96/x
  3. Step 3: Cross multiply
    14,893.60x = 22,326 × 5,530.96
  4. Step 4: Simplify right side
    14,893.60x = 123,484,212.96
  5. Step 5: Solve for x
    x = 123,484,212.96/14,893.60
  6. Step 6: Final answer
    x = 8,291.09

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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.