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Finding the Fourth Proportional to 27,784.72, 38,342.67 and 15,037.65

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Solution

The fourth proportional to 27,784.72, 38,342.67 and 15,037.65 is: 20,751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.72 : 38,342.67 = 15,037.65 : x
  2. Step 2: Convert to fraction form
    27,784.72/38,342.67 = 15,037.65/x
  3. Step 3: Cross multiply
    27,784.72x = 38,342.67 × 15,037.65
  4. Step 4: Simplify right side
    27,784.72x = 576,583,595.13
  5. Step 5: Solve for x
    x = 576,583,595.13/27,784.72
  6. Step 6: Final answer
    x = 20,751.82

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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.