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Finding the Fourth Proportional to 12,338.10, 17,025.52 and 7,032.80

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Solution

The fourth proportional to 12,338.10, 17,025.52 and 7,032.80 is: 9,704.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,338.10 : 17,025.52 = 7,032.80 : x
  2. Step 2: Convert to fraction form
    12,338.10/17,025.52 = 7,032.80/x
  3. Step 3: Cross multiply
    12,338.10x = 17,025.52 × 7,032.80
  4. Step 4: Simplify right side
    12,338.10x = 119,737,077.06
  5. Step 5: Solve for x
    x = 119,737,077.06/12,338.10
  6. Step 6: Final answer
    x = 9,704.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.