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Finding the Fourth Proportional to 13,792.80, 20,656.14 and 7,543.44

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Solution

The fourth proportional to 13,792.80, 20,656.14 and 7,543.44 is: 11,297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,792.80 : 20,656.14 = 7,543.44 : x
  2. Step 2: Convert to fraction form
    13,792.80/20,656.14 = 7,543.44/x
  3. Step 3: Cross multiply
    13,792.80x = 20,656.14 × 7,543.44
  4. Step 4: Simplify right side
    13,792.80x = 155,818,352.72
  5. Step 5: Solve for x
    x = 155,818,352.72/13,792.80
  6. Step 6: Final answer
    x = 11,297.08

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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.