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Finding the Fourth Proportional to 13,115.96, 19,661.16 and 8,422.82

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Solution

The fourth proportional to 13,115.96, 19,661.16 and 8,422.82 is: 12,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.96 : 19,661.16 = 8,422.82 : x
  2. Step 2: Convert to fraction form
    13,115.96/19,661.16 = 8,422.82/x
  3. Step 3: Cross multiply
    13,115.96x = 19,661.16 × 8,422.82
  4. Step 4: Simplify right side
    13,115.96x = 165,602,411.67
  5. Step 5: Solve for x
    x = 165,602,411.67/13,115.96
  6. Step 6: Final answer
    x = 12,626.02

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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.