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Finding the Fourth Proportional to 12,535.64, 17,305.56 and 9,696.62

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Solution

The fourth proportional to 12,535.64, 17,305.56 and 9,696.62 is: 13,386.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.64 : 17,305.56 = 9,696.62 : x
  2. Step 2: Convert to fraction form
    12,535.64/17,305.56 = 9,696.62/x
  3. Step 3: Cross multiply
    12,535.64x = 17,305.56 × 9,696.62
  4. Step 4: Simplify right side
    12,535.64x = 167,805,439.21
  5. Step 5: Solve for x
    x = 167,805,439.21/12,535.64
  6. Step 6: Final answer
    x = 13,386.27

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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.