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Finding the Fourth Proportional to 13,143.40, 18,137.56 and 7,175.16

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Solution

The fourth proportional to 13,143.40, 18,137.56 and 7,175.16 is: 9,901.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,143.40 : 18,137.56 = 7,175.16 : x
  2. Step 2: Convert to fraction form
    13,143.40/18,137.56 = 7,175.16/x
  3. Step 3: Cross multiply
    13,143.40x = 18,137.56 × 7,175.16
  4. Step 4: Simplify right side
    13,143.40x = 130,139,895.01
  5. Step 5: Solve for x
    x = 130,139,895.01/13,143.40
  6. Step 6: Final answer
    x = 9,901.54

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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.