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Finding the Fourth Proportional to 27,447.84, 37,878.21 and 14,872.59

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Solution

The fourth proportional to 27,447.84, 37,878.21 and 14,872.59 is: 20,524.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,447.84 : 37,878.21 = 14,872.59 : x
  2. Step 2: Convert to fraction form
    27,447.84/37,878.21 = 14,872.59/x
  3. Step 3: Cross multiply
    27,447.84x = 37,878.21 × 14,872.59
  4. Step 4: Simplify right side
    27,447.84x = 563,347,087.26
  5. Step 5: Solve for x
    x = 563,347,087.26/27,447.84
  6. Step 6: Final answer
    x = 20,524.28

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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.