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Finding the Fourth Proportional to 13,142.93, 18,137.65 and 7,174.99

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Solution

The fourth proportional to 13,142.93, 18,137.65 and 7,174.99 is: 9,901.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.93 : 18,137.65 = 7,174.99 : x
  2. Step 2: Convert to fraction form
    13,142.93/18,137.65 = 7,174.99/x
  3. Step 3: Cross multiply
    13,142.93x = 18,137.65 × 7,174.99
  4. Step 4: Simplify right side
    13,142.93x = 130,137,366.69
  5. Step 5: Solve for x
    x = 130,137,366.69/13,142.93
  6. Step 6: Final answer
    x = 9,901.70

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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.