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Finding the Fourth Proportional to 19,462, 26,858.20 and 10,630

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Solution

The fourth proportional to 19,462, 26,858.20 and 10,630 is: 14,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,462 : 26,858.20 = 10,630 : x
  2. Step 2: Convert to fraction form
    19,462/26,858.20 = 10,630/x
  3. Step 3: Cross multiply
    19,462x = 26,858.20 × 10,630
  4. Step 4: Simplify right side
    19,462x = 285,502,666
  5. Step 5: Solve for x
    x = 285,502,666/19,462
  6. Step 6: Final answer
    x = 14,669.75

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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.