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Finding the Fourth Proportional to 24,656.02, 36,978.90 and 8,647.69

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Solution

The fourth proportional to 24,656.02, 36,978.90 and 8,647.69 is: 12,969.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,656.02 : 36,978.90 = 8,647.69 : x
  2. Step 2: Convert to fraction form
    24,656.02/36,978.90 = 8,647.69/x
  3. Step 3: Cross multiply
    24,656.02x = 36,978.90 × 8,647.69
  4. Step 4: Simplify right side
    24,656.02x = 319,781,977.16
  5. Step 5: Solve for x
    x = 319,781,977.16/24,656.02
  6. Step 6: Final answer
    x = 12,969.73

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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.