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Finding the Fourth Proportional to 19,282, 26,609.16 and 10,450

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Solution

The fourth proportional to 19,282, 26,609.16 and 10,450 is: 14,421

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282 : 26,609.16 = 10,450 : x
  2. Step 2: Convert to fraction form
    19,282/26,609.16 = 10,450/x
  3. Step 3: Cross multiply
    19,282x = 26,609.16 × 10,450
  4. Step 4: Simplify right side
    19,282x = 278,065,722
  5. Step 5: Solve for x
    x = 278,065,722/19,282
  6. Step 6: Final answer
    x = 14,421

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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.