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Finding the Fourth Proportional to 19,228, 26,534.64 and 10,396

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Solution

The fourth proportional to 19,228, 26,534.64 and 10,396 is: 14,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,228 : 26,534.64 = 10,396 : x
  2. Step 2: Convert to fraction form
    19,228/26,534.64 = 10,396/x
  3. Step 3: Cross multiply
    19,228x = 26,534.64 × 10,396
  4. Step 4: Simplify right side
    19,228x = 275,854,117.44
  5. Step 5: Solve for x
    x = 275,854,117.44/19,228
  6. Step 6: Final answer
    x = 14,346.48

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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.