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Finding the Fourth Proportional to 26,353.78, 39,530.74 and 9,706.62

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Solution

The fourth proportional to 26,353.78, 39,530.74 and 9,706.62 is: 14,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,353.78 : 39,530.74 = 9,706.62 : x
  2. Step 2: Convert to fraction form
    26,353.78/39,530.74 = 9,706.62/x
  3. Step 3: Cross multiply
    26,353.78x = 39,530.74 × 9,706.62
  4. Step 4: Simplify right side
    26,353.78x = 383,709,871.50
  5. Step 5: Solve for x
    x = 383,709,871.50/26,353.78
  6. Step 6: Final answer
    x = 14,559.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.