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Finding the Fourth Proportional to 26,192.34, 39,289.81 and 7,475.14

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Solution

The fourth proportional to 26,192.34, 39,289.81 and 7,475.14 is: 11,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,192.34 : 39,289.81 = 7,475.14 : x
  2. Step 2: Convert to fraction form
    26,192.34/39,289.81 = 7,475.14/x
  3. Step 3: Cross multiply
    26,192.34x = 39,289.81 × 7,475.14
  4. Step 4: Simplify right side
    26,192.34x = 293,696,596.50
  5. Step 5: Solve for x
    x = 293,696,596.50/26,192.34
  6. Step 6: Final answer
    x = 11,213.07

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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.