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Finding the Fourth Proportional to 13,707.58, 18,916.38 and 7,741.18

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Solution

The fourth proportional to 13,707.58, 18,916.38 and 7,741.18 is: 10,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.58 : 18,916.38 = 7,741.18 : x
  2. Step 2: Convert to fraction form
    13,707.58/18,916.38 = 7,741.18/x
  3. Step 3: Cross multiply
    13,707.58x = 18,916.38 × 7,741.18
  4. Step 4: Simplify right side
    13,707.58x = 146,435,102.53
  5. Step 5: Solve for x
    x = 146,435,102.53/13,707.58
  6. Step 6: Final answer
    x = 10,682.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.