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Finding the Fourth Proportional to 26,358, 39,537.04 and 10,775.60

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Solution

The fourth proportional to 26,358, 39,537.04 and 10,775.60 is: 16,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358 : 39,537.04 = 10,775.60 : x
  2. Step 2: Convert to fraction form
    26,358/39,537.04 = 10,775.60/x
  3. Step 3: Cross multiply
    26,358x = 39,537.04 × 10,775.60
  4. Step 4: Simplify right side
    26,358x = 426,035,328.22
  5. Step 5: Solve for x
    x = 426,035,328.22/26,358
  6. Step 6: Final answer
    x = 16,163.42

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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.