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Finding the Fourth Proportional to 15,513.62, 23,283.86 and 8,123.25

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Solution

The fourth proportional to 15,513.62, 23,283.86 and 8,123.25 is: 12,191.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.62 : 23,283.86 = 8,123.25 : x
  2. Step 2: Convert to fraction form
    15,513.62/23,283.86 = 8,123.25/x
  3. Step 3: Cross multiply
    15,513.62x = 23,283.86 × 8,123.25
  4. Step 4: Simplify right side
    15,513.62x = 189,140,615.75
  5. Step 5: Solve for x
    x = 189,140,615.75/15,513.62
  6. Step 6: Final answer
    x = 12,191.91

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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.