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Finding the Fourth Proportional to 13,416.17, 20,117.42 and 7,880.33

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Solution

The fourth proportional to 13,416.17, 20,117.42 and 7,880.33 is: 11,816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.17 : 20,117.42 = 7,880.33 : x
  2. Step 2: Convert to fraction form
    13,416.17/20,117.42 = 7,880.33/x
  3. Step 3: Cross multiply
    13,416.17x = 20,117.42 × 7,880.33
  4. Step 4: Simplify right side
    13,416.17x = 158,531,978.34
  5. Step 5: Solve for x
    x = 158,531,978.34/13,416.17
  6. Step 6: Final answer
    x = 11,816.48

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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.