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Finding the Fourth Proportional to 23,037.28, 34,555.86 and 9,196

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Solution

The fourth proportional to 23,037.28, 34,555.86 and 9,196 is: 13,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.28 : 34,555.86 = 9,196 : x
  2. Step 2: Convert to fraction form
    23,037.28/34,555.86 = 9,196/x
  3. Step 3: Cross multiply
    23,037.28x = 34,555.86 × 9,196
  4. Step 4: Simplify right side
    23,037.28x = 317,775,688.56
  5. Step 5: Solve for x
    x = 317,775,688.56/23,037.28
  6. Step 6: Final answer
    x = 13,793.98

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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.