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Finding the Fourth Proportional to 13,812.12, 19,060.73 and 7,524.50

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Solution

The fourth proportional to 13,812.12, 19,060.73 and 7,524.50 is: 10,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.12 : 19,060.73 = 7,524.50 : x
  2. Step 2: Convert to fraction form
    13,812.12/19,060.73 = 7,524.50/x
  3. Step 3: Cross multiply
    13,812.12x = 19,060.73 × 7,524.50
  4. Step 4: Simplify right side
    13,812.12x = 143,422,386.39
  5. Step 5: Solve for x
    x = 143,422,386.39/13,812.12
  6. Step 6: Final answer
    x = 10,383.81

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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.