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Finding the Fourth Proportional to 13,423.74, 20,144.79 and 4,658.60

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Solution

The fourth proportional to 13,423.74, 20,144.79 and 4,658.60 is: 6,991.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.74 : 20,144.79 = 4,658.60 : x
  2. Step 2: Convert to fraction form
    13,423.74/20,144.79 = 4,658.60/x
  3. Step 3: Cross multiply
    13,423.74x = 20,144.79 × 4,658.60
  4. Step 4: Simplify right side
    13,423.74x = 93,846,417.97
  5. Step 5: Solve for x
    x = 93,846,417.97/13,423.74
  6. Step 6: Final answer
    x = 6,991.08

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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.