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Finding the Fourth Proportional to 23,885.79, 35,814.96 and 9,855.47

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Solution

The fourth proportional to 23,885.79, 35,814.96 and 9,855.47 is: 14,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,885.79 : 35,814.96 = 9,855.47 : x
  2. Step 2: Convert to fraction form
    23,885.79/35,814.96 = 9,855.47/x
  3. Step 3: Cross multiply
    23,885.79x = 35,814.96 × 9,855.47
  4. Step 4: Simplify right side
    23,885.79x = 352,973,353.37
  5. Step 5: Solve for x
    x = 352,973,353.37/23,885.79
  6. Step 6: Final answer
    x = 14,777.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.