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Finding the Fourth Proportional to 24,426, 36,639.36 and 8,010

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Solution

The fourth proportional to 24,426, 36,639.36 and 8,010 is: 12,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,426 : 36,639.36 = 8,010 : x
  2. Step 2: Convert to fraction form
    24,426/36,639.36 = 8,010/x
  3. Step 3: Cross multiply
    24,426x = 36,639.36 × 8,010
  4. Step 4: Simplify right side
    24,426x = 293,481,273.60
  5. Step 5: Solve for x
    x = 293,481,273.60/24,426
  6. Step 6: Final answer
    x = 12,015.12

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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.