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Finding the Fourth Proportional to 23,202.68, 34,816.77 and 10,055.16

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Solution

The fourth proportional to 23,202.68, 34,816.77 and 10,055.16 is: 15,088.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202.68 : 34,816.77 = 10,055.16 : x
  2. Step 2: Convert to fraction form
    23,202.68/34,816.77 = 10,055.16/x
  3. Step 3: Cross multiply
    23,202.68x = 34,816.77 × 10,055.16
  4. Step 4: Simplify right side
    23,202.68x = 350,088,193.03
  5. Step 5: Solve for x
    x = 350,088,193.03/23,202.68
  6. Step 6: Final answer
    x = 15,088.27

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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.