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Finding the Fourth Proportional to 22,784.64, 34,165.44 and 7,203.84

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Solution

The fourth proportional to 22,784.64, 34,165.44 and 7,203.84 is: 10,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.64 : 34,165.44 = 7,203.84 : x
  2. Step 2: Convert to fraction form
    22,784.64/34,165.44 = 7,203.84/x
  3. Step 3: Cross multiply
    22,784.64x = 34,165.44 × 7,203.84
  4. Step 4: Simplify right side
    22,784.64x = 246,122,363.29
  5. Step 5: Solve for x
    x = 246,122,363.29/22,784.64
  6. Step 6: Final answer
    x = 10,802.12

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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.