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Finding the Fourth Proportional to 12,832.77, 17,653.72 and 10,469.73

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Solution

The fourth proportional to 12,832.77, 17,653.72 and 10,469.73 is: 14,402.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.77 : 17,653.72 = 10,469.73 : x
  2. Step 2: Convert to fraction form
    12,832.77/17,653.72 = 10,469.73/x
  3. Step 3: Cross multiply
    12,832.77x = 17,653.72 × 10,469.73
  4. Step 4: Simplify right side
    12,832.77x = 184,829,681.90
  5. Step 5: Solve for x
    x = 184,829,681.90/12,832.77
  6. Step 6: Final answer
    x = 14,402.95

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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.