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Finding the Fourth Proportional to 13,848, 19,110.42 and 7,560.54

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Solution

The fourth proportional to 13,848, 19,110.42 and 7,560.54 is: 10,433.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848 : 19,110.42 = 7,560.54 : x
  2. Step 2: Convert to fraction form
    13,848/19,110.42 = 7,560.54/x
  3. Step 3: Cross multiply
    13,848x = 19,110.42 × 7,560.54
  4. Step 4: Simplify right side
    13,848x = 144,485,094.83
  5. Step 5: Solve for x
    x = 144,485,094.83/13,848
  6. Step 6: Final answer
    x = 10,433.64

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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.