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Finding the Fourth Proportional to 13,132.81, 18,123.39 and 7,164.51

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Solution

The fourth proportional to 13,132.81, 18,123.39 and 7,164.51 is: 9,887.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.81 : 18,123.39 = 7,164.51 : x
  2. Step 2: Convert to fraction form
    13,132.81/18,123.39 = 7,164.51/x
  3. Step 3: Cross multiply
    13,132.81x = 18,123.39 × 7,164.51
  4. Step 4: Simplify right side
    13,132.81x = 129,845,208.89
  5. Step 5: Solve for x
    x = 129,845,208.89/13,132.81
  6. Step 6: Final answer
    x = 9,887.09

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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.