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Finding the Fourth Proportional to 13,726.96, 20,586.62 and 6,703.16

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Solution

The fourth proportional to 13,726.96, 20,586.62 and 6,703.16 is: 10,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.96 : 20,586.62 = 6,703.16 : x
  2. Step 2: Convert to fraction form
    13,726.96/20,586.62 = 6,703.16/x
  3. Step 3: Cross multiply
    13,726.96x = 20,586.62 × 6,703.16
  4. Step 4: Simplify right side
    13,726.96x = 137,995,407.72
  5. Step 5: Solve for x
    x = 137,995,407.72/13,726.96
  6. Step 6: Final answer
    x = 10,052.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.