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Finding the Fourth Proportional to 20,055.75, 30,085.25 and 6,204.75

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Solution

The fourth proportional to 20,055.75, 30,085.25 and 6,204.75 is: 9,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,055.75 : 30,085.25 = 6,204.75 : x
  2. Step 2: Convert to fraction form
    20,055.75/30,085.25 = 6,204.75/x
  3. Step 3: Cross multiply
    20,055.75x = 30,085.25 × 6,204.75
  4. Step 4: Simplify right side
    20,055.75x = 186,671,423.91
  5. Step 5: Solve for x
    x = 186,671,423.91/20,055.75
  6. Step 6: Final answer
    x = 9,307.63

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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.