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Finding the Fourth Proportional to 27,539.36, 38,004 and 14,963.84

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Solution

The fourth proportional to 27,539.36, 38,004 and 14,963.84 is: 20,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,539.36 : 38,004 = 14,963.84 : x
  2. Step 2: Convert to fraction form
    27,539.36/38,004 = 14,963.84/x
  3. Step 3: Cross multiply
    27,539.36x = 38,004 × 14,963.84
  4. Step 4: Simplify right side
    27,539.36x = 568,685,775.36
  5. Step 5: Solve for x
    x = 568,685,775.36/27,539.36
  6. Step 6: Final answer
    x = 20,649.93

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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.