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Finding the Fourth Proportional to 19,201.32, 28,777.14 and 9,833.58

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Solution

The fourth proportional to 19,201.32, 28,777.14 and 9,833.58 is: 14,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,201.32 : 28,777.14 = 9,833.58 : x
  2. Step 2: Convert to fraction form
    19,201.32/28,777.14 = 9,833.58/x
  3. Step 3: Cross multiply
    19,201.32x = 28,777.14 × 9,833.58
  4. Step 4: Simplify right side
    19,201.32x = 282,982,308.36
  5. Step 5: Solve for x
    x = 282,982,308.36/19,201.32
  6. Step 6: Final answer
    x = 14,737.65

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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.