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Finding the Fourth Proportional to 13,423.66, 20,135.49 and 4,658.65

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Solution

The fourth proportional to 13,423.66, 20,135.49 and 4,658.65 is: 6,987.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.66 : 20,135.49 = 4,658.65 : x
  2. Step 2: Convert to fraction form
    13,423.66/20,135.49 = 4,658.65/x
  3. Step 3: Cross multiply
    13,423.66x = 20,135.49 × 4,658.65
  4. Step 4: Simplify right side
    13,423.66x = 93,804,200.49
  5. Step 5: Solve for x
    x = 93,804,200.49/13,423.66
  6. Step 6: Final answer
    x = 6,987.98

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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.