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Finding the Fourth Proportional to 12,929.94, 17,842.80 and 7,902.56

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Solution

The fourth proportional to 12,929.94, 17,842.80 and 7,902.56 is: 10,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,929.94 : 17,842.80 = 7,902.56 : x
  2. Step 2: Convert to fraction form
    12,929.94/17,842.80 = 7,902.56/x
  3. Step 3: Cross multiply
    12,929.94x = 17,842.80 × 7,902.56
  4. Step 4: Simplify right side
    12,929.94x = 141,003,797.57
  5. Step 5: Solve for x
    x = 141,003,797.57/12,929.94
  6. Step 6: Final answer
    x = 10,905.22

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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.