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Finding the Fourth Proportional to 13,778.56, 20,635.62 and 10,071.46

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Solution

The fourth proportional to 13,778.56, 20,635.62 and 10,071.46 is: 15,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.56 : 20,635.62 = 10,071.46 : x
  2. Step 2: Convert to fraction form
    13,778.56/20,635.62 = 10,071.46/x
  3. Step 3: Cross multiply
    13,778.56x = 20,635.62 × 10,071.46
  4. Step 4: Simplify right side
    13,778.56x = 207,830,821.41
  5. Step 5: Solve for x
    x = 207,830,821.41/13,778.56
  6. Step 6: Final answer
    x = 15,083.64

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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.