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Finding the Fourth Proportional to 26,586.48, 36,689.14 and 14,649.64

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Solution

The fourth proportional to 26,586.48, 36,689.14 and 14,649.64 is: 20,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586.48 : 36,689.14 = 14,649.64 : x
  2. Step 2: Convert to fraction form
    26,586.48/36,689.14 = 14,649.64/x
  3. Step 3: Cross multiply
    26,586.48x = 36,689.14 × 14,649.64
  4. Step 4: Simplify right side
    26,586.48x = 537,482,692.91
  5. Step 5: Solve for x
    x = 537,482,692.91/26,586.48
  6. Step 6: Final answer
    x = 20,216.39

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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.