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Finding the Fourth Proportional to 19,308, 26,647.36 and 10,924

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Solution

The fourth proportional to 19,308, 26,647.36 and 10,924 is: 15,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,308 : 26,647.36 = 10,924 : x
  2. Step 2: Convert to fraction form
    19,308/26,647.36 = 10,924/x
  3. Step 3: Cross multiply
    19,308x = 26,647.36 × 10,924
  4. Step 4: Simplify right side
    19,308x = 291,095,760.64
  5. Step 5: Solve for x
    x = 291,095,760.64/19,308
  6. Step 6: Final answer
    x = 15,076.43

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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.