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Finding the Fourth Proportional to 14,594.82, 21,892.65 and 5,709.78

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Solution

The fourth proportional to 14,594.82, 21,892.65 and 5,709.78 is: 8,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.82 : 21,892.65 = 5,709.78 : x
  2. Step 2: Convert to fraction form
    14,594.82/21,892.65 = 5,709.78/x
  3. Step 3: Cross multiply
    14,594.82x = 21,892.65 × 5,709.78
  4. Step 4: Simplify right side
    14,594.82x = 125,002,215.12
  5. Step 5: Solve for x
    x = 125,002,215.12/14,594.82
  6. Step 6: Final answer
    x = 8,564.83

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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.