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Finding the Fourth Proportional to 22,508.61, 33,762.92 and 8,647.89

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Solution

The fourth proportional to 22,508.61, 33,762.92 and 8,647.89 is: 12,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.61 : 33,762.92 = 8,647.89 : x
  2. Step 2: Convert to fraction form
    22,508.61/33,762.92 = 8,647.89/x
  3. Step 3: Cross multiply
    22,508.61x = 33,762.92 × 8,647.89
  4. Step 4: Simplify right side
    22,508.61x = 291,977,975.00
  5. Step 5: Solve for x
    x = 291,977,975.00/22,508.61
  6. Step 6: Final answer
    x = 12,971.84

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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.