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Finding the Fourth Proportional to 13,208.42, 19,793.19 and 5,806.10

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Solution

The fourth proportional to 13,208.42, 19,793.19 and 5,806.10 is: 8,700.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,208.42 : 19,793.19 = 5,806.10 : x
  2. Step 2: Convert to fraction form
    13,208.42/19,793.19 = 5,806.10/x
  3. Step 3: Cross multiply
    13,208.42x = 19,793.19 × 5,806.10
  4. Step 4: Simplify right side
    13,208.42x = 114,921,240.46
  5. Step 5: Solve for x
    x = 114,921,240.46/13,208.42
  6. Step 6: Final answer
    x = 8,700.60

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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.