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Finding the Fourth Proportional to 26,666.37, 36,772.02 and 22,902

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Solution

The fourth proportional to 26,666.37, 36,772.02 and 22,902 is: 31,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,666.37 : 36,772.02 = 22,902 : x
  2. Step 2: Convert to fraction form
    26,666.37/36,772.02 = 22,902/x
  3. Step 3: Cross multiply
    26,666.37x = 36,772.02 × 22,902
  4. Step 4: Simplify right side
    26,666.37x = 842,152,802.04
  5. Step 5: Solve for x
    x = 842,152,802.04/26,666.37
  6. Step 6: Final answer
    x = 31,581.08

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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.