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Finding the Fourth Proportional to 13,905, 19,189.31 and 7,617.78

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Solution

The fourth proportional to 13,905, 19,189.31 and 7,617.78 is: 10,512.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905 : 19,189.31 = 7,617.78 : x
  2. Step 2: Convert to fraction form
    13,905/19,189.31 = 7,617.78/x
  3. Step 3: Cross multiply
    13,905x = 19,189.31 × 7,617.78
  4. Step 4: Simplify right side
    13,905x = 146,179,903.84
  5. Step 5: Solve for x
    x = 146,179,903.84/13,905
  6. Step 6: Final answer
    x = 10,512.76

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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.