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Finding the Fourth Proportional to 19,135.44, 28,664.28 and 9,882

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Solution

The fourth proportional to 19,135.44, 28,664.28 and 9,882 is: 14,802.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,135.44 : 28,664.28 = 9,882 : x
  2. Step 2: Convert to fraction form
    19,135.44/28,664.28 = 9,882/x
  3. Step 3: Cross multiply
    19,135.44x = 28,664.28 × 9,882
  4. Step 4: Simplify right side
    19,135.44x = 283,260,414.96
  5. Step 5: Solve for x
    x = 283,260,414.96/19,135.44
  6. Step 6: Final answer
    x = 14,802.92

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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.