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Finding the Fourth Proportional to 26,585.84, 36,690.09 and 14,649.17

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Solution

The fourth proportional to 26,585.84, 36,690.09 and 14,649.17 is: 20,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.84 : 36,690.09 = 14,649.17 : x
  2. Step 2: Convert to fraction form
    26,585.84/36,690.09 = 14,649.17/x
  3. Step 3: Cross multiply
    26,585.84x = 36,690.09 × 14,649.17
  4. Step 4: Simplify right side
    26,585.84x = 537,479,457.45
  5. Step 5: Solve for x
    x = 537,479,457.45/26,585.84
  6. Step 6: Final answer
    x = 20,216.76

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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.