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Finding the Fourth Proportional to 12,111.66, 16,696.80 and 9,426.51

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Solution

The fourth proportional to 12,111.66, 16,696.80 and 9,426.51 is: 12,995.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111.66 : 16,696.80 = 9,426.51 : x
  2. Step 2: Convert to fraction form
    12,111.66/16,696.80 = 9,426.51/x
  3. Step 3: Cross multiply
    12,111.66x = 16,696.80 × 9,426.51
  4. Step 4: Simplify right side
    12,111.66x = 157,392,552.17
  5. Step 5: Solve for x
    x = 157,392,552.17/12,111.66
  6. Step 6: Final answer
    x = 12,995.13

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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.