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Finding the Fourth Proportional to 19,856.28, 29,775.68 and 9,329.29

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Solution

The fourth proportional to 19,856.28, 29,775.68 and 9,329.29 is: 13,989.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.28 : 29,775.68 = 9,329.29 : x
  2. Step 2: Convert to fraction form
    19,856.28/29,775.68 = 9,329.29/x
  3. Step 3: Cross multiply
    19,856.28x = 29,775.68 × 9,329.29
  4. Step 4: Simplify right side
    19,856.28x = 277,785,953.67
  5. Step 5: Solve for x
    x = 277,785,953.67/19,856.28
  6. Step 6: Final answer
    x = 13,989.83

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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.