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Finding the Fourth Proportional to 12,864.04, 17,744.94 and 7,557.76

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Solution

The fourth proportional to 12,864.04, 17,744.94 and 7,557.76 is: 10,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.04 : 17,744.94 = 7,557.76 : x
  2. Step 2: Convert to fraction form
    12,864.04/17,744.94 = 7,557.76/x
  3. Step 3: Cross multiply
    12,864.04x = 17,744.94 × 7,557.76
  4. Step 4: Simplify right side
    12,864.04x = 134,111,997.73
  5. Step 5: Solve for x
    x = 134,111,997.73/12,864.04
  6. Step 6: Final answer
    x = 10,425.34

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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.