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Finding the Fourth Proportional to 26,842.37, 37,045.88 and 16,232.07

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Solution

The fourth proportional to 26,842.37, 37,045.88 and 16,232.07 is: 22,402.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,842.37 : 37,045.88 = 16,232.07 : x
  2. Step 2: Convert to fraction form
    26,842.37/37,045.88 = 16,232.07/x
  3. Step 3: Cross multiply
    26,842.37x = 37,045.88 × 16,232.07
  4. Step 4: Simplify right side
    26,842.37x = 601,331,236.21
  5. Step 5: Solve for x
    x = 601,331,236.21/26,842.37
  6. Step 6: Final answer
    x = 22,402.32

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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.