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Finding the Fourth Proportional to 27,542.94, 38,008.71 and 14,967.78

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Solution

The fourth proportional to 27,542.94, 38,008.71 and 14,967.78 is: 20,655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,542.94 : 38,008.71 = 14,967.78 : x
  2. Step 2: Convert to fraction form
    27,542.94/38,008.71 = 14,967.78/x
  3. Step 3: Cross multiply
    27,542.94x = 38,008.71 × 14,967.78
  4. Step 4: Simplify right side
    27,542.94x = 568,906,009.36
  5. Step 5: Solve for x
    x = 568,906,009.36/27,542.94
  6. Step 6: Final answer
    x = 20,655.24

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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.