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Finding the Fourth Proportional to 12,436.37, 18,661.04 and 5,509.25

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Solution

The fourth proportional to 12,436.37, 18,661.04 and 5,509.25 is: 8,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,436.37 : 18,661.04 = 5,509.25 : x
  2. Step 2: Convert to fraction form
    12,436.37/18,661.04 = 5,509.25/x
  3. Step 3: Cross multiply
    12,436.37x = 18,661.04 × 5,509.25
  4. Step 4: Simplify right side
    12,436.37x = 102,808,307.07
  5. Step 5: Solve for x
    x = 102,808,307.07/12,436.37
  6. Step 6: Final answer
    x = 8,266.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.