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Finding the Fourth Proportional to 26,902, 37,096.68 and 16,287.76

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Solution

The fourth proportional to 26,902, 37,096.68 and 16,287.76 is: 22,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,902 : 37,096.68 = 16,287.76 : x
  2. Step 2: Convert to fraction form
    26,902/37,096.68 = 16,287.76/x
  3. Step 3: Cross multiply
    26,902x = 37,096.68 × 16,287.76
  4. Step 4: Simplify right side
    26,902x = 604,221,820.64
  5. Step 5: Solve for x
    x = 604,221,820.64/26,902
  6. Step 6: Final answer
    x = 22,460.11

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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.