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Finding the Fourth Proportional to 13,954.18, 19,257.84 and 7,987.72

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Solution

The fourth proportional to 13,954.18, 19,257.84 and 7,987.72 is: 11,023.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.18 : 19,257.84 = 7,987.72 : x
  2. Step 2: Convert to fraction form
    13,954.18/19,257.84 = 7,987.72/x
  3. Step 3: Cross multiply
    13,954.18x = 19,257.84 × 7,987.72
  4. Step 4: Simplify right side
    13,954.18x = 153,826,233.72
  5. Step 5: Solve for x
    x = 153,826,233.72/13,954.18
  6. Step 6: Final answer
    x = 11,023.67

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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.