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Finding the Fourth Proportional to 13,811.76, 19,060.30 and 7,524.14

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Solution

The fourth proportional to 13,811.76, 19,060.30 and 7,524.14 is: 10,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.76 : 19,060.30 = 7,524.14 : x
  2. Step 2: Convert to fraction form
    13,811.76/19,060.30 = 7,524.14/x
  3. Step 3: Cross multiply
    13,811.76x = 19,060.30 × 7,524.14
  4. Step 4: Simplify right side
    13,811.76x = 143,412,365.64
  5. Step 5: Solve for x
    x = 143,412,365.64/13,811.76
  6. Step 6: Final answer
    x = 10,383.35

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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.