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Finding the Fourth Proportional to 13,952.55, 19,257.84 and 7,987.67

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Solution

The fourth proportional to 13,952.55, 19,257.84 and 7,987.67 is: 11,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.55 : 19,257.84 = 7,987.67 : x
  2. Step 2: Convert to fraction form
    13,952.55/19,257.84 = 7,987.67/x
  3. Step 3: Cross multiply
    13,952.55x = 19,257.84 × 7,987.67
  4. Step 4: Simplify right side
    13,952.55x = 153,825,174.54
  5. Step 5: Solve for x
    x = 153,825,174.54/13,952.55
  6. Step 6: Final answer
    x = 11,024.88

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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.