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Finding the Fourth Proportional to 19,372, 26,733.84 and 10,540

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Solution

The fourth proportional to 19,372, 26,733.84 and 10,540 is: 14,545.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,372 : 26,733.84 = 10,540 : x
  2. Step 2: Convert to fraction form
    19,372/26,733.84 = 10,540/x
  3. Step 3: Cross multiply
    19,372x = 26,733.84 × 10,540
  4. Step 4: Simplify right side
    19,372x = 281,774,673.60
  5. Step 5: Solve for x
    x = 281,774,673.60/19,372
  6. Step 6: Final answer
    x = 14,545.46

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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.