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Finding the Fourth Proportional to 13,207.65, 19,814.91 and 3,847.45

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Solution

The fourth proportional to 13,207.65, 19,814.91 and 3,847.45 is: 5,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.65 : 19,814.91 = 3,847.45 : x
  2. Step 2: Convert to fraction form
    13,207.65/19,814.91 = 3,847.45/x
  3. Step 3: Cross multiply
    13,207.65x = 19,814.91 × 3,847.45
  4. Step 4: Simplify right side
    13,207.65x = 76,236,875.48
  5. Step 5: Solve for x
    x = 76,236,875.48/13,207.65
  6. Step 6: Final answer
    x = 5,772.18

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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.