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Finding the Fourth Proportional to 23,415.82, 32,304.79 and 14,447.77

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Solution

The fourth proportional to 23,415.82, 32,304.79 and 14,447.77 is: 19,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,415.82 : 32,304.79 = 14,447.77 : x
  2. Step 2: Convert to fraction form
    23,415.82/32,304.79 = 14,447.77/x
  3. Step 3: Cross multiply
    23,415.82x = 32,304.79 × 14,447.77
  4. Step 4: Simplify right side
    23,415.82x = 466,732,175.82
  5. Step 5: Solve for x
    x = 466,732,175.82/23,415.82
  6. Step 6: Final answer
    x = 19,932.34

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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.