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Finding the Fourth Proportional to 22,731.48, 34,102.08 and 7,150.32

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Solution

The fourth proportional to 22,731.48, 34,102.08 and 7,150.32 is: 10,727.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731.48 : 34,102.08 = 7,150.32 : x
  2. Step 2: Convert to fraction form
    22,731.48/34,102.08 = 7,150.32/x
  3. Step 3: Cross multiply
    22,731.48x = 34,102.08 × 7,150.32
  4. Step 4: Simplify right side
    22,731.48x = 243,840,784.67
  5. Step 5: Solve for x
    x = 243,840,784.67/22,731.48
  6. Step 6: Final answer
    x = 10,727.01

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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.