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Finding the Fourth Proportional to 12,591.48, 17,336.52 and 9,597.72

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Solution

The fourth proportional to 12,591.48, 17,336.52 and 9,597.72 is: 13,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,591.48 : 17,336.52 = 9,597.72 : x
  2. Step 2: Convert to fraction form
    12,591.48/17,336.52 = 9,597.72/x
  3. Step 3: Cross multiply
    12,591.48x = 17,336.52 × 9,597.72
  4. Step 4: Simplify right side
    12,591.48x = 166,391,064.73
  5. Step 5: Solve for x
    x = 166,391,064.73/12,591.48
  6. Step 6: Final answer
    x = 13,214.58

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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.