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Finding the Fourth Proportional to 19,778.60, 27,282.88 and 11,709.48

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Solution

The fourth proportional to 19,778.60, 27,282.88 and 11,709.48 is: 16,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,778.60 : 27,282.88 = 11,709.48 : x
  2. Step 2: Convert to fraction form
    19,778.60/27,282.88 = 11,709.48/x
  3. Step 3: Cross multiply
    19,778.60x = 27,282.88 × 11,709.48
  4. Step 4: Simplify right side
    19,778.60x = 319,468,337.70
  5. Step 5: Solve for x
    x = 319,468,337.70/19,778.60
  6. Step 6: Final answer
    x = 16,152.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.