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Finding the Fourth Proportional to 13,135.34, 18,126.71 and 7,166.99

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Solution

The fourth proportional to 13,135.34, 18,126.71 and 7,166.99 is: 9,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.34 : 18,126.71 = 7,166.99 : x
  2. Step 2: Convert to fraction form
    13,135.34/18,126.71 = 7,166.99/x
  3. Step 3: Cross multiply
    13,135.34x = 18,126.71 × 7,166.99
  4. Step 4: Simplify right side
    13,135.34x = 129,913,949.30
  5. Step 5: Solve for x
    x = 129,913,949.30/13,135.34
  6. Step 6: Final answer
    x = 9,890.41

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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.