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Finding the Fourth Proportional to 22,783.96, 34,174.14 and 7,201.72

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Solution

The fourth proportional to 22,783.96, 34,174.14 and 7,201.72 is: 10,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.96 : 34,174.14 = 7,201.72 : x
  2. Step 2: Convert to fraction form
    22,783.96/34,174.14 = 7,201.72/x
  3. Step 3: Cross multiply
    22,783.96x = 34,174.14 × 7,201.72
  4. Step 4: Simplify right side
    22,783.96x = 246,112,587.52
  5. Step 5: Solve for x
    x = 246,112,587.52/22,783.96
  6. Step 6: Final answer
    x = 10,802.01

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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.