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Finding the Fourth Proportional to 13,133.14, 18,123.78 and 7,164.93

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Solution

The fourth proportional to 13,133.14, 18,123.78 and 7,164.93 is: 9,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,133.14 : 18,123.78 = 7,164.93 : x
  2. Step 2: Convert to fraction form
    13,133.14/18,123.78 = 7,164.93/x
  3. Step 3: Cross multiply
    13,133.14x = 18,123.78 × 7,164.93
  4. Step 4: Simplify right side
    13,133.14x = 129,855,709.87
  5. Step 5: Solve for x
    x = 129,855,709.87/13,133.14
  6. Step 6: Final answer
    x = 9,887.64

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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.