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Finding the Fourth Proportional to 13,142.95, 18,137.34 and 7,174.75

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Solution

The fourth proportional to 13,142.95, 18,137.34 and 7,174.75 is: 9,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.95 : 18,137.34 = 7,174.75 : x
  2. Step 2: Convert to fraction form
    13,142.95/18,137.34 = 7,174.75/x
  3. Step 3: Cross multiply
    13,142.95x = 18,137.34 × 7,174.75
  4. Step 4: Simplify right side
    13,142.95x = 130,130,880.17
  5. Step 5: Solve for x
    x = 130,130,880.17/13,142.95
  6. Step 6: Final answer
    x = 9,901.19

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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.