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Finding the Fourth Proportional to 14,196.67, 19,591.47 and 8,146.58

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Solution

The fourth proportional to 14,196.67, 19,591.47 and 8,146.58 is: 11,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.67 : 19,591.47 = 8,146.58 : x
  2. Step 2: Convert to fraction form
    14,196.67/19,591.47 = 8,146.58/x
  3. Step 3: Cross multiply
    14,196.67x = 19,591.47 × 8,146.58
  4. Step 4: Simplify right side
    14,196.67x = 159,603,379.72
  5. Step 5: Solve for x
    x = 159,603,379.72/14,196.67
  6. Step 6: Final answer
    x = 11,242.31

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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.