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Finding the Fourth Proportional to 11,824.60, 16,304.40 and 8,835.40

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Solution

The fourth proportional to 11,824.60, 16,304.40 and 8,835.40 is: 12,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.60 : 16,304.40 = 8,835.40 : x
  2. Step 2: Convert to fraction form
    11,824.60/16,304.40 = 8,835.40/x
  3. Step 3: Cross multiply
    11,824.60x = 16,304.40 × 8,835.40
  4. Step 4: Simplify right side
    11,824.60x = 144,055,895.76
  5. Step 5: Solve for x
    x = 144,055,895.76/11,824.60
  6. Step 6: Final answer
    x = 12,182.73

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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.