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Finding the Fourth Proportional to 13,803.66, 20,706.03 and 6,012.54

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Solution

The fourth proportional to 13,803.66, 20,706.03 and 6,012.54 is: 9,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.66 : 20,706.03 = 6,012.54 : x
  2. Step 2: Convert to fraction form
    13,803.66/20,706.03 = 6,012.54/x
  3. Step 3: Cross multiply
    13,803.66x = 20,706.03 × 6,012.54
  4. Step 4: Simplify right side
    13,803.66x = 124,495,833.62
  5. Step 5: Solve for x
    x = 124,495,833.62/13,803.66
  6. Step 6: Final answer
    x = 9,019.05

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Why These Related Problems?

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