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Finding the Fourth Proportional to 12,135.80, 16,733.63 and 9,890.71

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Solution

The fourth proportional to 12,135.80, 16,733.63 and 9,890.71 is: 13,637.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.80 : 16,733.63 = 9,890.71 : x
  2. Step 2: Convert to fraction form
    12,135.80/16,733.63 = 9,890.71/x
  3. Step 3: Cross multiply
    12,135.80x = 16,733.63 × 9,890.71
  4. Step 4: Simplify right side
    12,135.80x = 165,507,394.93
  5. Step 5: Solve for x
    x = 165,507,394.93/12,135.80
  6. Step 6: Final answer
    x = 13,637.95

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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.