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Finding the Fourth Proportional to 24,647.54, 36,972.72 and 8,009.00

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Solution

The fourth proportional to 24,647.54, 36,972.72 and 8,009.00 is: 12,013.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.54 : 36,972.72 = 8,009.00 : x
  2. Step 2: Convert to fraction form
    24,647.54/36,972.72 = 8,009.00/x
  3. Step 3: Cross multiply
    24,647.54x = 36,972.72 × 8,009.00
  4. Step 4: Simplify right side
    24,647.54x = 296,114,329.62
  5. Step 5: Solve for x
    x = 296,114,329.62/24,647.54
  6. Step 6: Final answer
    x = 12,013.95

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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.