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Finding the Fourth Proportional to 20,878.67, 31,298.82 and 9,025.02

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Solution

The fourth proportional to 20,878.67, 31,298.82 and 9,025.02 is: 13,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.67 : 31,298.82 = 9,025.02 : x
  2. Step 2: Convert to fraction form
    20,878.67/31,298.82 = 9,025.02/x
  3. Step 3: Cross multiply
    20,878.67x = 31,298.82 × 9,025.02
  4. Step 4: Simplify right side
    20,878.67x = 282,472,455.32
  5. Step 5: Solve for x
    x = 282,472,455.32/20,878.67
  6. Step 6: Final answer
    x = 13,529.23

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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.