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Finding the Fourth Proportional to 13,812.06, 19,060.74 and 7,524.48

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Solution

The fourth proportional to 13,812.06, 19,060.74 and 7,524.48 is: 10,383.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.06 : 19,060.74 = 7,524.48 : x
  2. Step 2: Convert to fraction form
    13,812.06/19,060.74 = 7,524.48/x
  3. Step 3: Cross multiply
    13,812.06x = 19,060.74 × 7,524.48
  4. Step 4: Simplify right side
    13,812.06x = 143,422,156.92
  5. Step 5: Solve for x
    x = 143,422,156.92/13,812.06
  6. Step 6: Final answer
    x = 10,383.84

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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.