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Finding the Fourth Proportional to 13,733.84, 18,952.52 and 7,446.18

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Solution

The fourth proportional to 13,733.84, 18,952.52 and 7,446.18 is: 10,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,733.84 : 18,952.52 = 7,446.18 : x
  2. Step 2: Convert to fraction form
    13,733.84/18,952.52 = 7,446.18/x
  3. Step 3: Cross multiply
    13,733.84x = 18,952.52 × 7,446.18
  4. Step 4: Simplify right side
    13,733.84x = 141,123,875.37
  5. Step 5: Solve for x
    x = 141,123,875.37/13,733.84
  6. Step 6: Final answer
    x = 10,275.63

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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.