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Finding the Fourth Proportional to 13,046.85, 19,571.67 and 4,281.80

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Solution

The fourth proportional to 13,046.85, 19,571.67 and 4,281.80 is: 6,423.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,046.85 : 19,571.67 = 4,281.80 : x
  2. Step 2: Convert to fraction form
    13,046.85/19,571.67 = 4,281.80/x
  3. Step 3: Cross multiply
    13,046.85x = 19,571.67 × 4,281.80
  4. Step 4: Simplify right side
    13,046.85x = 83,801,878.75
  5. Step 5: Solve for x
    x = 83,801,878.75/13,046.85
  6. Step 6: Final answer
    x = 6,423.15

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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.