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Finding the Fourth Proportional to 13,083.12, 19,627.92 and 6,156

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Solution

The fourth proportional to 13,083.12, 19,627.92 and 6,156 is: 9,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.12 : 19,627.92 = 6,156 : x
  2. Step 2: Convert to fraction form
    13,083.12/19,627.92 = 6,156/x
  3. Step 3: Cross multiply
    13,083.12x = 19,627.92 × 6,156
  4. Step 4: Simplify right side
    13,083.12x = 120,829,475.52
  5. Step 5: Solve for x
    x = 120,829,475.52/13,083.12
  6. Step 6: Final answer
    x = 9,235.52

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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.