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Finding the Fourth Proportional to 13,906.65, 19,186.29 and 9,656.58

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Solution

The fourth proportional to 13,906.65, 19,186.29 and 9,656.58 is: 13,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.65 : 19,186.29 = 9,656.58 : x
  2. Step 2: Convert to fraction form
    13,906.65/19,186.29 = 9,656.58/x
  3. Step 3: Cross multiply
    13,906.65x = 19,186.29 × 9,656.58
  4. Step 4: Simplify right side
    13,906.65x = 185,273,944.29
  5. Step 5: Solve for x
    x = 185,273,944.29/13,906.65
  6. Step 6: Final answer
    x = 13,322.69

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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.