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Finding the Fourth Proportional to 19,408.50, 26,783.74 and 10,576.50

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Solution

The fourth proportional to 19,408.50, 26,783.74 and 10,576.50 is: 14,595.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408.50 : 26,783.74 = 10,576.50 : x
  2. Step 2: Convert to fraction form
    19,408.50/26,783.74 = 10,576.50/x
  3. Step 3: Cross multiply
    19,408.50x = 26,783.74 × 10,576.50
  4. Step 4: Simplify right side
    19,408.50x = 283,278,226.11
  5. Step 5: Solve for x
    x = 283,278,226.11/19,408.50
  6. Step 6: Final answer
    x = 14,595.58

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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.