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Finding the Fourth Proportional to 23,493.84, 32,421.42 and 12,883.20

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Solution

The fourth proportional to 23,493.84, 32,421.42 and 12,883.20 is: 17,778.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.84 : 32,421.42 = 12,883.20 : x
  2. Step 2: Convert to fraction form
    23,493.84/32,421.42 = 12,883.20/x
  3. Step 3: Cross multiply
    23,493.84x = 32,421.42 × 12,883.20
  4. Step 4: Simplify right side
    23,493.84x = 417,691,638.14
  5. Step 5: Solve for x
    x = 417,691,638.14/23,493.84
  6. Step 6: Final answer
    x = 17,778.77

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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.