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Finding the Fourth Proportional to 27,784.67, 38,342.54 and 15,037.57

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Solution

The fourth proportional to 27,784.67, 38,342.54 and 15,037.57 is: 20,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.67 : 38,342.54 = 15,037.57 : x
  2. Step 2: Convert to fraction form
    27,784.67/38,342.54 = 15,037.57/x
  3. Step 3: Cross multiply
    27,784.67x = 38,342.54 × 15,037.57
  4. Step 4: Simplify right side
    27,784.67x = 576,578,629.23
  5. Step 5: Solve for x
    x = 576,578,629.23/27,784.67
  6. Step 6: Final answer
    x = 20,751.68

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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.