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Finding the Fourth Proportional to 19,556.92, 29,339.70 and 9,163

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Solution

The fourth proportional to 19,556.92, 29,339.70 and 9,163 is: 13,746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,556.92 : 29,339.70 = 9,163 : x
  2. Step 2: Convert to fraction form
    19,556.92/29,339.70 = 9,163/x
  3. Step 3: Cross multiply
    19,556.92x = 29,339.70 × 9,163
  4. Step 4: Simplify right side
    19,556.92x = 268,839,671.10
  5. Step 5: Solve for x
    x = 268,839,671.10/19,556.92
  6. Step 6: Final answer
    x = 13,746.52

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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.