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Finding the Fourth Proportional to 12,864.05, 17,751.54 and 7,197.81

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Solution

The fourth proportional to 12,864.05, 17,751.54 and 7,197.81 is: 9,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.05 : 17,751.54 = 7,197.81 : x
  2. Step 2: Convert to fraction form
    12,864.05/17,751.54 = 7,197.81/x
  3. Step 3: Cross multiply
    12,864.05x = 17,751.54 × 7,197.81
  4. Step 4: Simplify right side
    12,864.05x = 127,772,212.13
  5. Step 5: Solve for x
    x = 127,772,212.13/12,864.05
  6. Step 6: Final answer
    x = 9,932.50

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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.