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Finding the Fourth Proportional to 22,865.40, 34,298.10 and 11,201.40

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Solution

The fourth proportional to 22,865.40, 34,298.10 and 11,201.40 is: 16,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,865.40 : 34,298.10 = 11,201.40 : x
  2. Step 2: Convert to fraction form
    22,865.40/34,298.10 = 11,201.40/x
  3. Step 3: Cross multiply
    22,865.40x = 34,298.10 × 11,201.40
  4. Step 4: Simplify right side
    22,865.40x = 384,186,737.34
  5. Step 5: Solve for x
    x = 384,186,737.34/22,865.40
  6. Step 6: Final answer
    x = 16,802.10

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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.