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Finding the Fourth Proportional to 23,495.64, 32,424.12 and 12,885.30

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Solution

The fourth proportional to 23,495.64, 32,424.12 and 12,885.30 is: 17,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,495.64 : 32,424.12 = 12,885.30 : x
  2. Step 2: Convert to fraction form
    23,495.64/32,424.12 = 12,885.30/x
  3. Step 3: Cross multiply
    23,495.64x = 32,424.12 × 12,885.30
  4. Step 4: Simplify right side
    23,495.64x = 417,794,513.44
  5. Step 5: Solve for x
    x = 417,794,513.44/23,495.64
  6. Step 6: Final answer
    x = 17,781.79

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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.