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Finding the Fourth Proportional to 27,645.81, 38,151.22 and 15,709.16

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Solution

The fourth proportional to 27,645.81, 38,151.22 and 15,709.16 is: 21,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,645.81 : 38,151.22 = 15,709.16 : x
  2. Step 2: Convert to fraction form
    27,645.81/38,151.22 = 15,709.16/x
  3. Step 3: Cross multiply
    27,645.81x = 38,151.22 × 15,709.16
  4. Step 4: Simplify right side
    27,645.81x = 599,323,675.28
  5. Step 5: Solve for x
    x = 599,323,675.28/27,645.81
  6. Step 6: Final answer
    x = 21,678.64

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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.