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Finding the Fourth Proportional to 13,235.75, 19,853.67 and 4,001.75

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Solution

The fourth proportional to 13,235.75, 19,853.67 and 4,001.75 is: 6,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.75 : 19,853.67 = 4,001.75 : x
  2. Step 2: Convert to fraction form
    13,235.75/19,853.67 = 4,001.75/x
  3. Step 3: Cross multiply
    13,235.75x = 19,853.67 × 4,001.75
  4. Step 4: Simplify right side
    13,235.75x = 79,449,423.92
  5. Step 5: Solve for x
    x = 79,449,423.92/13,235.75
  6. Step 6: Final answer
    x = 6,002.64

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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.