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Finding the Fourth Proportional to 23,083.80, 34,601.40 and 9,038.40

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Solution

The fourth proportional to 23,083.80, 34,601.40 and 9,038.40 is: 13,548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.80 : 34,601.40 = 9,038.40 : x
  2. Step 2: Convert to fraction form
    23,083.80/34,601.40 = 9,038.40/x
  3. Step 3: Cross multiply
    23,083.80x = 34,601.40 × 9,038.40
  4. Step 4: Simplify right side
    23,083.80x = 312,741,293.76
  5. Step 5: Solve for x
    x = 312,741,293.76/23,083.80
  6. Step 6: Final answer
    x = 13,548.09

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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.