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Finding the Fourth Proportional to 12,875.30, 17,765.34 and 7,836.14

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Solution

The fourth proportional to 12,875.30, 17,765.34 and 7,836.14 is: 10,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.30 : 17,765.34 = 7,836.14 : x
  2. Step 2: Convert to fraction form
    12,875.30/17,765.34 = 7,836.14/x
  3. Step 3: Cross multiply
    12,875.30x = 17,765.34 × 7,836.14
  4. Step 4: Simplify right side
    12,875.30x = 139,211,755.39
  5. Step 5: Solve for x
    x = 139,211,755.39/12,875.30
  6. Step 6: Final answer
    x = 10,812.31

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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.