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Finding the Fourth Proportional to 27,741.54, 38,284.52 and 15,646.08

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Solution

The fourth proportional to 27,741.54, 38,284.52 and 15,646.08 is: 21,592.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,741.54 : 38,284.52 = 15,646.08 : x
  2. Step 2: Convert to fraction form
    27,741.54/38,284.52 = 15,646.08/x
  3. Step 3: Cross multiply
    27,741.54x = 38,284.52 × 15,646.08
  4. Step 4: Simplify right side
    27,741.54x = 599,002,510.37
  5. Step 5: Solve for x
    x = 599,002,510.37/27,741.54
  6. Step 6: Final answer
    x = 21,592.26

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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.