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Finding the Fourth Proportional to 20,045.19, 30,041.75 and 8,185.08

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Solution

The fourth proportional to 20,045.19, 30,041.75 and 8,185.08 is: 12,266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,045.19 : 30,041.75 = 8,185.08 : x
  2. Step 2: Convert to fraction form
    20,045.19/30,041.75 = 8,185.08/x
  3. Step 3: Cross multiply
    20,045.19x = 30,041.75 × 8,185.08
  4. Step 4: Simplify right side
    20,045.19x = 245,894,127.09
  5. Step 5: Solve for x
    x = 245,894,127.09/20,045.19
  6. Step 6: Final answer
    x = 12,266.99

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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.