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Finding the Fourth Proportional to 13,297.20, 19,948.20 and 6,706.80

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Solution

The fourth proportional to 13,297.20, 19,948.20 and 6,706.80 is: 10,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.20 : 19,948.20 = 6,706.80 : x
  2. Step 2: Convert to fraction form
    13,297.20/19,948.20 = 6,706.80/x
  3. Step 3: Cross multiply
    13,297.20x = 19,948.20 × 6,706.80
  4. Step 4: Simplify right side
    13,297.20x = 133,788,587.76
  5. Step 5: Solve for x
    x = 133,788,587.76/13,297.20
  6. Step 6: Final answer
    x = 10,061.41

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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.