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Finding the Fourth Proportional to 34,155.10, 51,228.02 and 9,196.64

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Solution

The fourth proportional to 34,155.10, 51,228.02 and 9,196.64 is: 13,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,155.10 : 51,228.02 = 9,196.64 : x
  2. Step 2: Convert to fraction form
    34,155.10/51,228.02 = 9,196.64/x
  3. Step 3: Cross multiply
    34,155.10x = 51,228.02 × 9,196.64
  4. Step 4: Simplify right side
    34,155.10x = 471,125,565.08
  5. Step 5: Solve for x
    x = 471,125,565.08/34,155.10
  6. Step 6: Final answer
    x = 13,793.71

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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.