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Finding the Fourth Proportional to 13,717.02, 20,455.63 and 12,205.02

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Solution

The fourth proportional to 13,717.02, 20,455.63 and 12,205.02 is: 18,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.02 : 20,455.63 = 12,205.02 : x
  2. Step 2: Convert to fraction form
    13,717.02/20,455.63 = 12,205.02/x
  3. Step 3: Cross multiply
    13,717.02x = 20,455.63 × 12,205.02
  4. Step 4: Simplify right side
    13,717.02x = 249,661,209.96
  5. Step 5: Solve for x
    x = 249,661,209.96/13,717.02
  6. Step 6: Final answer
    x = 18,200.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.