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Finding the Fourth Proportional to 13,136.90, 19,695.30 and 6,567.71

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Solution

The fourth proportional to 13,136.90, 19,695.30 and 6,567.71 is: 9,846.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,136.90 : 19,695.30 = 6,567.71 : x
  2. Step 2: Convert to fraction form
    13,136.90/19,695.30 = 6,567.71/x
  3. Step 3: Cross multiply
    13,136.90x = 19,695.30 × 6,567.71
  4. Step 4: Simplify right side
    13,136.90x = 129,352,920.29
  5. Step 5: Solve for x
    x = 129,352,920.29/13,136.90
  6. Step 6: Final answer
    x = 9,846.54

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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.