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Finding the Fourth Proportional to 13,166.46, 18,167.68 and 7,500.49

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Solution

The fourth proportional to 13,166.46, 18,167.68 and 7,500.49 is: 10,349.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.46 : 18,167.68 = 7,500.49 : x
  2. Step 2: Convert to fraction form
    13,166.46/18,167.68 = 7,500.49/x
  3. Step 3: Cross multiply
    13,166.46x = 18,167.68 × 7,500.49
  4. Step 4: Simplify right side
    13,166.46x = 136,266,502.16
  5. Step 5: Solve for x
    x = 136,266,502.16/13,166.46
  6. Step 6: Final answer
    x = 10,349.52

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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.