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Finding the Fourth Proportional to 12,008.34, 16,578.81 and 8,237.70

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Solution

The fourth proportional to 12,008.34, 16,578.81 and 8,237.70 is: 11,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,008.34 : 16,578.81 = 8,237.70 : x
  2. Step 2: Convert to fraction form
    12,008.34/16,578.81 = 8,237.70/x
  3. Step 3: Cross multiply
    12,008.34x = 16,578.81 × 8,237.70
  4. Step 4: Simplify right side
    12,008.34x = 136,571,263.14
  5. Step 5: Solve for x
    x = 136,571,263.14/12,008.34
  6. Step 6: Final answer
    x = 11,373.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.