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Finding the Fourth Proportional to 13,781.34, 18,996.12 and 9,303.66

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Solution

The fourth proportional to 13,781.34, 18,996.12 and 9,303.66 is: 12,824.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.34 : 18,996.12 = 9,303.66 : x
  2. Step 2: Convert to fraction form
    13,781.34/18,996.12 = 9,303.66/x
  3. Step 3: Cross multiply
    13,781.34x = 18,996.12 × 9,303.66
  4. Step 4: Simplify right side
    13,781.34x = 176,733,441.80
  5. Step 5: Solve for x
    x = 176,733,441.80/13,781.34
  6. Step 6: Final answer
    x = 12,824.11

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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.