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Finding the Fourth Proportional to 19,328, 26,672.80 and 10,496

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Solution

The fourth proportional to 19,328, 26,672.80 and 10,496 is: 14,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,328 : 26,672.80 = 10,496 : x
  2. Step 2: Convert to fraction form
    19,328/26,672.80 = 10,496/x
  3. Step 3: Cross multiply
    19,328x = 26,672.80 × 10,496
  4. Step 4: Simplify right side
    19,328x = 279,957,708.80
  5. Step 5: Solve for x
    x = 279,957,708.80/19,328
  6. Step 6: Final answer
    x = 14,484.57

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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.