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Finding the Fourth Proportional to 27,537.93, 38,002.91 and 14,963.49

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Solution

The fourth proportional to 27,537.93, 38,002.91 and 14,963.49 is: 20,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,537.93 : 38,002.91 = 14,963.49 : x
  2. Step 2: Convert to fraction form
    27,537.93/38,002.91 = 14,963.49/x
  3. Step 3: Cross multiply
    27,537.93x = 38,002.91 × 14,963.49
  4. Step 4: Simplify right side
    27,537.93x = 568,656,088.94
  5. Step 5: Solve for x
    x = 568,656,088.94/27,537.93
  6. Step 6: Final answer
    x = 20,649.92

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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.