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Finding the Fourth Proportional to 19,251, 26,566.46 and 10,419

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Solution

The fourth proportional to 19,251, 26,566.46 and 10,419 is: 14,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,251 : 26,566.46 = 10,419 : x
  2. Step 2: Convert to fraction form
    19,251/26,566.46 = 10,419/x
  3. Step 3: Cross multiply
    19,251x = 26,566.46 × 10,419
  4. Step 4: Simplify right side
    19,251x = 276,795,946.74
  5. Step 5: Solve for x
    x = 276,795,946.74/19,251
  6. Step 6: Final answer
    x = 14,378.26

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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.