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Finding the Fourth Proportional to 13,811.24, 19,058.78 and 7,842.76

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Solution

The fourth proportional to 13,811.24, 19,058.78 and 7,842.76 is: 10,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,811.24 : 19,058.78 = 7,842.76 : x
  2. Step 2: Convert to fraction form
    13,811.24/19,058.78 = 7,842.76/x
  3. Step 3: Cross multiply
    13,811.24x = 19,058.78 × 7,842.76
  4. Step 4: Simplify right side
    13,811.24x = 149,473,437.43
  5. Step 5: Solve for x
    x = 149,473,437.43/13,811.24
  6. Step 6: Final answer
    x = 10,822.59

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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.