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Finding the Fourth Proportional to 13,423.07, 20,134.59 and 4,189.07

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Solution

The fourth proportional to 13,423.07, 20,134.59 and 4,189.07 is: 6,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.07 : 20,134.59 = 4,189.07 : x
  2. Step 2: Convert to fraction form
    13,423.07/20,134.59 = 4,189.07/x
  3. Step 3: Cross multiply
    13,423.07x = 20,134.59 × 4,189.07
  4. Step 4: Simplify right side
    13,423.07x = 84,345,206.93
  5. Step 5: Solve for x
    x = 84,345,206.93/13,423.07
  6. Step 6: Final answer
    x = 6,283.60

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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.