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Finding the Fourth Proportional to 13,581.73, 18,742.82 and 7,916.05

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Solution

The fourth proportional to 13,581.73, 18,742.82 and 7,916.05 is: 10,924.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.73 : 18,742.82 = 7,916.05 : x
  2. Step 2: Convert to fraction form
    13,581.73/18,742.82 = 7,916.05/x
  3. Step 3: Cross multiply
    13,581.73x = 18,742.82 × 7,916.05
  4. Step 4: Simplify right side
    13,581.73x = 148,369,100.26
  5. Step 5: Solve for x
    x = 148,369,100.26/13,581.73
  6. Step 6: Final answer
    x = 10,924.17

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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.