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Finding the Fourth Proportional to 23,005.52, 31,747.80 and 12,933.32

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Solution

The fourth proportional to 23,005.52, 31,747.80 and 12,933.32 is: 17,848.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.52 : 31,747.80 = 12,933.32 : x
  2. Step 2: Convert to fraction form
    23,005.52/31,747.80 = 12,933.32/x
  3. Step 3: Cross multiply
    23,005.52x = 31,747.80 × 12,933.32
  4. Step 4: Simplify right side
    23,005.52x = 410,604,456.70
  5. Step 5: Solve for x
    x = 410,604,456.70/23,005.52
  6. Step 6: Final answer
    x = 17,848.08

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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.