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Finding the Fourth Proportional to 27,123.84, 37,429.74 and 15,185.16

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Solution

The fourth proportional to 27,123.84, 37,429.74 and 15,185.16 is: 20,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,123.84 : 37,429.74 = 15,185.16 : x
  2. Step 2: Convert to fraction form
    27,123.84/37,429.74 = 15,185.16/x
  3. Step 3: Cross multiply
    27,123.84x = 37,429.74 × 15,185.16
  4. Step 4: Simplify right side
    27,123.84x = 568,376,590.66
  5. Step 5: Solve for x
    x = 568,376,590.66/27,123.84
  6. Step 6: Final answer
    x = 20,954.87

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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.