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Finding the Fourth Proportional to 10,696.51, 16,140.42 and 10,291.51

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Solution

The fourth proportional to 10,696.51, 16,140.42 and 10,291.51 is: 15,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.51 : 16,140.42 = 10,291.51 : x
  2. Step 2: Convert to fraction form
    10,696.51/16,140.42 = 10,291.51/x
  3. Step 3: Cross multiply
    10,696.51x = 16,140.42 × 10,291.51
  4. Step 4: Simplify right side
    10,696.51x = 166,109,293.83
  5. Step 5: Solve for x
    x = 166,109,293.83/10,696.51
  6. Step 6: Final answer
    x = 15,529.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.