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Finding the Fourth Proportional to 12,409.37, 17,133.87 and 7,635.74

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Solution

The fourth proportional to 12,409.37, 17,133.87 and 7,635.74 is: 10,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.37 : 17,133.87 = 7,635.74 : x
  2. Step 2: Convert to fraction form
    12,409.37/17,133.87 = 7,635.74/x
  3. Step 3: Cross multiply
    12,409.37x = 17,133.87 × 7,635.74
  4. Step 4: Simplify right side
    12,409.37x = 130,829,690.84
  5. Step 5: Solve for x
    x = 130,829,690.84/12,409.37
  6. Step 6: Final answer
    x = 10,542.82

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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.