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Finding the Fourth Proportional to 12,747.78, 17,548.85 and 10,506.11

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Solution

The fourth proportional to 12,747.78, 17,548.85 and 10,506.11 is: 14,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747.78 : 17,548.85 = 10,506.11 : x
  2. Step 2: Convert to fraction form
    12,747.78/17,548.85 = 10,506.11/x
  3. Step 3: Cross multiply
    12,747.78x = 17,548.85 × 10,506.11
  4. Step 4: Simplify right side
    12,747.78x = 184,370,086.99
  5. Step 5: Solve for x
    x = 184,370,086.99/12,747.78
  6. Step 6: Final answer
    x = 14,462.92

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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.