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Finding the Fourth Proportional to 13,924.08, 19,215.48 and 7,636.38

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Solution

The fourth proportional to 13,924.08, 19,215.48 and 7,636.38 is: 10,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,924.08 : 19,215.48 = 7,636.38 : x
  2. Step 2: Convert to fraction form
    13,924.08/19,215.48 = 7,636.38/x
  3. Step 3: Cross multiply
    13,924.08x = 19,215.48 × 7,636.38
  4. Step 4: Simplify right side
    13,924.08x = 146,736,707.16
  5. Step 5: Solve for x
    x = 146,736,707.16/13,924.08
  6. Step 6: Final answer
    x = 10,538.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.