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Finding the Fourth Proportional to 12,377.66, 17,083.53 and 9,683.51

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Solution

The fourth proportional to 12,377.66, 17,083.53 and 9,683.51 is: 13,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.66 : 17,083.53 = 9,683.51 : x
  2. Step 2: Convert to fraction form
    12,377.66/17,083.53 = 9,683.51/x
  3. Step 3: Cross multiply
    12,377.66x = 17,083.53 × 9,683.51
  4. Step 4: Simplify right side
    12,377.66x = 165,428,448.17
  5. Step 5: Solve for x
    x = 165,428,448.17/12,377.66
  6. Step 6: Final answer
    x = 13,365.09

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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.