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Finding the Fourth Proportional to 23,848.31, 32,910.68 and 14,416.88

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Solution

The fourth proportional to 23,848.31, 32,910.68 and 14,416.88 is: 19,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.31 : 32,910.68 = 14,416.88 : x
  2. Step 2: Convert to fraction form
    23,848.31/32,910.68 = 14,416.88/x
  3. Step 3: Cross multiply
    23,848.31x = 32,910.68 × 14,416.88
  4. Step 4: Simplify right side
    23,848.31x = 474,469,195.77
  5. Step 5: Solve for x
    x = 474,469,195.77/23,848.31
  6. Step 6: Final answer
    x = 19,895.29

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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.