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Finding the Fourth Proportional to 26,602.46, 36,713.05 and 14,665.78

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Solution

The fourth proportional to 26,602.46, 36,713.05 and 14,665.78 is: 20,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,602.46 : 36,713.05 = 14,665.78 : x
  2. Step 2: Convert to fraction form
    26,602.46/36,713.05 = 14,665.78/x
  3. Step 3: Cross multiply
    26,602.46x = 36,713.05 × 14,665.78
  4. Step 4: Simplify right side
    26,602.46x = 538,425,317.14
  5. Step 5: Solve for x
    x = 538,425,317.14/26,602.46
  6. Step 6: Final answer
    x = 20,239.68

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