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Finding the Fourth Proportional to 27,071.42, 37,357.49 and 14,971.11

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Solution

The fourth proportional to 27,071.42, 37,357.49 and 14,971.11 is: 20,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,071.42 : 37,357.49 = 14,971.11 : x
  2. Step 2: Convert to fraction form
    27,071.42/37,357.49 = 14,971.11/x
  3. Step 3: Cross multiply
    27,071.42x = 37,357.49 × 14,971.11
  4. Step 4: Simplify right side
    27,071.42x = 559,283,115.37
  5. Step 5: Solve for x
    x = 559,283,115.37/27,071.42
  6. Step 6: Final answer
    x = 20,659.54

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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.