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Finding the Fourth Proportional to 12,972.36, 17,901.70 and 7,383.32

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Solution

The fourth proportional to 12,972.36, 17,901.70 and 7,383.32 is: 10,188.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.36 : 17,901.70 = 7,383.32 : x
  2. Step 2: Convert to fraction form
    12,972.36/17,901.70 = 7,383.32/x
  3. Step 3: Cross multiply
    12,972.36x = 17,901.70 × 7,383.32
  4. Step 4: Simplify right side
    12,972.36x = 132,173,979.64
  5. Step 5: Solve for x
    x = 132,173,979.64/12,972.36
  6. Step 6: Final answer
    x = 10,188.89

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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.