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Finding the Fourth Proportional to 13,581.86, 18,743.00 and 7,916.18

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Solution

The fourth proportional to 13,581.86, 18,743.00 and 7,916.18 is: 10,924.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,581.86 : 18,743.00 = 7,916.18 : x
  2. Step 2: Convert to fraction form
    13,581.86/18,743.00 = 7,916.18/x
  3. Step 3: Cross multiply
    13,581.86x = 18,743.00 × 7,916.18
  4. Step 4: Simplify right side
    13,581.86x = 148,372,828.44
  5. Step 5: Solve for x
    x = 148,372,828.44/13,581.86
  6. Step 6: Final answer
    x = 10,924.34

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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.