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Finding the Fourth Proportional to 19,122.50, 26,389.06 and 10,739

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Solution

The fourth proportional to 19,122.50, 26,389.06 and 10,739 is: 14,819.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,122.50 : 26,389.06 = 10,739 : x
  2. Step 2: Convert to fraction form
    19,122.50/26,389.06 = 10,739/x
  3. Step 3: Cross multiply
    19,122.50x = 26,389.06 × 10,739
  4. Step 4: Simplify right side
    19,122.50x = 283,392,115.34
  5. Step 5: Solve for x
    x = 283,392,115.34/19,122.50
  6. Step 6: Final answer
    x = 14,819.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.