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Finding the Fourth Proportional to 26,586, 36,689.67 and 14,649.03

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Solution

The fourth proportional to 26,586, 36,689.67 and 14,649.03 is: 20,216.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586 : 36,689.67 = 14,649.03 : x
  2. Step 2: Convert to fraction form
    26,586/36,689.67 = 14,649.03/x
  3. Step 3: Cross multiply
    26,586x = 36,689.67 × 14,649.03
  4. Step 4: Simplify right side
    26,586x = 537,468,076.52
  5. Step 5: Solve for x
    x = 537,468,076.52/26,586
  6. Step 6: Final answer
    x = 20,216.21

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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.