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Finding the Fourth Proportional to 13,924.56, 19,215.90 and 7,636.94

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Solution

The fourth proportional to 13,924.56, 19,215.90 and 7,636.94 is: 10,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.56 : 19,215.90 = 7,636.94 : x
  2. Step 2: Convert to fraction form
    13,924.56/19,215.90 = 7,636.94/x
  3. Step 3: Cross multiply
    13,924.56x = 19,215.90 × 7,636.94
  4. Step 4: Simplify right side
    13,924.56x = 146,750,675.35
  5. Step 5: Solve for x
    x = 146,750,675.35/13,924.56
  6. Step 6: Final answer
    x = 10,538.98

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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.