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Finding the Fourth Proportional to 23,187.84, 31,992.96 and 14,238.72

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Solution

The fourth proportional to 23,187.84, 31,992.96 and 14,238.72 is: 19,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.84 : 31,992.96 = 14,238.72 : x
  2. Step 2: Convert to fraction form
    23,187.84/31,992.96 = 14,238.72/x
  3. Step 3: Cross multiply
    23,187.84x = 31,992.96 × 14,238.72
  4. Step 4: Simplify right side
    23,187.84x = 455,538,799.41
  5. Step 5: Solve for x
    x = 455,538,799.41/23,187.84
  6. Step 6: Final answer
    x = 19,645.59

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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.