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Finding the Fourth Proportional to 26,540.38, 36,624.81 and 14,602.60

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Solution

The fourth proportional to 26,540.38, 36,624.81 and 14,602.60 is: 20,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.38 : 36,624.81 = 14,602.60 : x
  2. Step 2: Convert to fraction form
    26,540.38/36,624.81 = 14,602.60/x
  3. Step 3: Cross multiply
    26,540.38x = 36,624.81 × 14,602.60
  4. Step 4: Simplify right side
    26,540.38x = 534,817,450.51
  5. Step 5: Solve for x
    x = 534,817,450.51/26,540.38
  6. Step 6: Final answer
    x = 20,151.08

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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.