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Finding the Fourth Proportional to 12,656.39, 17,458.89 and 7,617.57

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Solution

The fourth proportional to 12,656.39, 17,458.89 and 7,617.57 is: 10,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,656.39 : 17,458.89 = 7,617.57 : x
  2. Step 2: Convert to fraction form
    12,656.39/17,458.89 = 7,617.57/x
  3. Step 3: Cross multiply
    12,656.39x = 17,458.89 × 7,617.57
  4. Step 4: Simplify right side
    12,656.39x = 132,994,316.70
  5. Step 5: Solve for x
    x = 132,994,316.70/12,656.39
  6. Step 6: Final answer
    x = 10,508.08

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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.