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Finding the Fourth Proportional to 27,827.61, 38,385.25 and 16,493.48

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Solution

The fourth proportional to 27,827.61, 38,385.25 and 16,493.48 is: 22,751.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.61 : 38,385.25 = 16,493.48 : x
  2. Step 2: Convert to fraction form
    27,827.61/38,385.25 = 16,493.48/x
  3. Step 3: Cross multiply
    27,827.61x = 38,385.25 × 16,493.48
  4. Step 4: Simplify right side
    27,827.61x = 633,106,353.17
  5. Step 5: Solve for x
    x = 633,106,353.17/27,827.61
  6. Step 6: Final answer
    x = 22,751.01

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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.