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Finding the Fourth Proportional to 12,290.52, 16,951.77 and 9,632.64

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Solution

The fourth proportional to 12,290.52, 16,951.77 and 9,632.64 is: 13,285.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,290.52 : 16,951.77 = 9,632.64 : x
  2. Step 2: Convert to fraction form
    12,290.52/16,951.77 = 9,632.64/x
  3. Step 3: Cross multiply
    12,290.52x = 16,951.77 × 9,632.64
  4. Step 4: Simplify right side
    12,290.52x = 163,290,297.77
  5. Step 5: Solve for x
    x = 163,290,297.77/12,290.52
  6. Step 6: Final answer
    x = 13,285.87

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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.