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Finding the Fourth Proportional to 19,657.76, 29,477.36 and 7,168.96

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Solution

The fourth proportional to 19,657.76, 29,477.36 and 7,168.96 is: 10,750.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,657.76 : 29,477.36 = 7,168.96 : x
  2. Step 2: Convert to fraction form
    19,657.76/29,477.36 = 7,168.96/x
  3. Step 3: Cross multiply
    19,657.76x = 29,477.36 × 7,168.96
  4. Step 4: Simplify right side
    19,657.76x = 211,322,014.75
  5. Step 5: Solve for x
    x = 211,322,014.75/19,657.76
  6. Step 6: Final answer
    x = 10,750.06

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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.