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Finding the Fourth Proportional to 13,924.63, 19,215.93 and 7,636.87

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Solution

The fourth proportional to 13,924.63, 19,215.93 and 7,636.87 is: 10,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.63 : 19,215.93 = 7,636.87 : x
  2. Step 2: Convert to fraction form
    13,924.63/19,215.93 = 7,636.87/x
  3. Step 3: Cross multiply
    13,924.63x = 19,215.93 × 7,636.87
  4. Step 4: Simplify right side
    13,924.63x = 146,749,559.34
  5. Step 5: Solve for x
    x = 146,749,559.34/13,924.63
  6. Step 6: Final answer
    x = 10,538.85

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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.