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Finding the Fourth Proportional to 12,445.24, 18,661.74 and 7,771.48

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Solution

The fourth proportional to 12,445.24, 18,661.74 and 7,771.48 is: 11,653.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,445.24 : 18,661.74 = 7,771.48 : x
  2. Step 2: Convert to fraction form
    12,445.24/18,661.74 = 7,771.48/x
  3. Step 3: Cross multiply
    12,445.24x = 18,661.74 × 7,771.48
  4. Step 4: Simplify right side
    12,445.24x = 145,029,339.18
  5. Step 5: Solve for x
    x = 145,029,339.18/12,445.24
  6. Step 6: Final answer
    x = 11,653.40

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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.