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Finding the Fourth Proportional to 19,120.96, 26,389.56 and 10,738

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Solution

The fourth proportional to 19,120.96, 26,389.56 and 10,738 is: 14,819.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.96 : 26,389.56 = 10,738 : x
  2. Step 2: Convert to fraction form
    19,120.96/26,389.56 = 10,738/x
  3. Step 3: Cross multiply
    19,120.96x = 26,389.56 × 10,738
  4. Step 4: Simplify right side
    19,120.96x = 283,371,095.28
  5. Step 5: Solve for x
    x = 283,371,095.28/19,120.96
  6. Step 6: Final answer
    x = 14,819.92

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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.