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Finding the Fourth Proportional to 22,783.82, 34,175.52 and 7,201.45

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Solution

The fourth proportional to 22,783.82, 34,175.52 and 7,201.45 is: 10,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.82 : 34,175.52 = 7,201.45 : x
  2. Step 2: Convert to fraction form
    22,783.82/34,175.52 = 7,201.45/x
  3. Step 3: Cross multiply
    22,783.82x = 34,175.52 × 7,201.45
  4. Step 4: Simplify right side
    22,783.82x = 246,113,298.50
  5. Step 5: Solve for x
    x = 246,113,298.50/22,783.82
  6. Step 6: Final answer
    x = 10,802.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.