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Finding the Fourth Proportional to 26,370.92, 36,401.94 and 16,301

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Solution

The fourth proportional to 26,370.92, 36,401.94 and 16,301 is: 22,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,370.92 : 36,401.94 = 16,301 : x
  2. Step 2: Convert to fraction form
    26,370.92/36,401.94 = 16,301/x
  3. Step 3: Cross multiply
    26,370.92x = 36,401.94 × 16,301
  4. Step 4: Simplify right side
    26,370.92x = 593,388,023.94
  5. Step 5: Solve for x
    x = 593,388,023.94/26,370.92
  6. Step 6: Final answer
    x = 22,501.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.