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Finding the Fourth Proportional to 17,582.67, 26,374 and 5,270.67

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Solution

The fourth proportional to 17,582.67, 26,374 and 5,270.67 is: 7,906.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,582.67 : 26,374 = 5,270.67 : x
  2. Step 2: Convert to fraction form
    17,582.67/26,374 = 5,270.67/x
  3. Step 3: Cross multiply
    17,582.67x = 26,374 × 5,270.67
  4. Step 4: Simplify right side
    17,582.67x = 139,008,650.58
  5. Step 5: Solve for x
    x = 139,008,650.58/17,582.67
  6. Step 6: Final answer
    x = 7,906.00

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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.