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Finding the Fourth Proportional to 13,733.75, 18,952.58 and 7,446.12

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Solution

The fourth proportional to 13,733.75, 18,952.58 and 7,446.12 is: 10,275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.75 : 18,952.58 = 7,446.12 : x
  2. Step 2: Convert to fraction form
    13,733.75/18,952.58 = 7,446.12/x
  3. Step 3: Cross multiply
    13,733.75x = 18,952.58 × 7,446.12
  4. Step 4: Simplify right side
    13,733.75x = 141,123,147.76
  5. Step 5: Solve for x
    x = 141,123,147.76/13,733.75
  6. Step 6: Final answer
    x = 10,275.65

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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.