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Finding the Fourth Proportional to 12,054.26, 18,049.94 and 9,701.42

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Solution

The fourth proportional to 12,054.26, 18,049.94 and 9,701.42 is: 14,526.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.26 : 18,049.94 = 9,701.42 : x
  2. Step 2: Convert to fraction form
    12,054.26/18,049.94 = 9,701.42/x
  3. Step 3: Cross multiply
    12,054.26x = 18,049.94 × 9,701.42
  4. Step 4: Simplify right side
    12,054.26x = 175,110,048.91
  5. Step 5: Solve for x
    x = 175,110,048.91/12,054.26
  6. Step 6: Final answer
    x = 14,526.82

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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.