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Finding the Fourth Proportional to 19,061.56, 26,306.64 and 10,678

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Solution

The fourth proportional to 19,061.56, 26,306.64 and 10,678 is: 14,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,061.56 : 26,306.64 = 10,678 : x
  2. Step 2: Convert to fraction form
    19,061.56/26,306.64 = 10,678/x
  3. Step 3: Cross multiply
    19,061.56x = 26,306.64 × 10,678
  4. Step 4: Simplify right side
    19,061.56x = 280,902,301.92
  5. Step 5: Solve for x
    x = 280,902,301.92/19,061.56
  6. Step 6: Final answer
    x = 14,736.59

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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.