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Finding the Fourth Proportional to 27,349.84, 37,742.76 and 14,774.58

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Solution

The fourth proportional to 27,349.84, 37,742.76 and 14,774.58 is: 20,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.84 : 37,742.76 = 14,774.58 : x
  2. Step 2: Convert to fraction form
    27,349.84/37,742.76 = 14,774.58/x
  3. Step 3: Cross multiply
    27,349.84x = 37,742.76 × 14,774.58
  4. Step 4: Simplify right side
    27,349.84x = 557,633,427.04
  5. Step 5: Solve for x
    x = 557,633,427.04/27,349.84
  6. Step 6: Final answer
    x = 20,388.91

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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.