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Finding the Fourth Proportional to 13,790.56, 20,686.07 and 6,670.66

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Solution

The fourth proportional to 13,790.56, 20,686.07 and 6,670.66 is: 10,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,790.56 : 20,686.07 = 6,670.66 : x
  2. Step 2: Convert to fraction form
    13,790.56/20,686.07 = 6,670.66/x
  3. Step 3: Cross multiply
    13,790.56x = 20,686.07 × 6,670.66
  4. Step 4: Simplify right side
    13,790.56x = 137,989,706.35
  5. Step 5: Solve for x
    x = 137,989,706.35/13,790.56
  6. Step 6: Final answer
    x = 10,006.10

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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.