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Finding the Fourth Proportional to 13,863.79, 20,802.53 and 8,597.37

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Solution

The fourth proportional to 13,863.79, 20,802.53 and 8,597.37 is: 12,900.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863.79 : 20,802.53 = 8,597.37 : x
  2. Step 2: Convert to fraction form
    13,863.79/20,802.53 = 8,597.37/x
  3. Step 3: Cross multiply
    13,863.79x = 20,802.53 × 8,597.37
  4. Step 4: Simplify right side
    13,863.79x = 178,847,047.35
  5. Step 5: Solve for x
    x = 178,847,047.35/13,863.79
  6. Step 6: Final answer
    x = 12,900.30

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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.