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Finding the Fourth Proportional to 20,657.36, 30,957.16 and 10,258.64

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Solution

The fourth proportional to 20,657.36, 30,957.16 and 10,258.64 is: 15,373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.36 : 30,957.16 = 10,258.64 : x
  2. Step 2: Convert to fraction form
    20,657.36/30,957.16 = 10,258.64/x
  3. Step 3: Cross multiply
    20,657.36x = 30,957.16 × 10,258.64
  4. Step 4: Simplify right side
    20,657.36x = 317,578,359.86
  5. Step 5: Solve for x
    x = 317,578,359.86/20,657.36
  6. Step 6: Final answer
    x = 15,373.62

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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.