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Finding the Fourth Proportional to 26,584.61, 36,687.74 and 14,648.45

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Solution

The fourth proportional to 26,584.61, 36,687.74 and 14,648.45 is: 20,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584.61 : 36,687.74 = 14,648.45 : x
  2. Step 2: Convert to fraction form
    26,584.61/36,687.74 = 14,648.45/x
  3. Step 3: Cross multiply
    26,584.61x = 36,687.74 × 14,648.45
  4. Step 4: Simplify right side
    26,584.61x = 537,418,268.32
  5. Step 5: Solve for x
    x = 537,418,268.32/26,584.61
  6. Step 6: Final answer
    x = 20,215.39

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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.