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Finding the Fourth Proportional to 24,854.85, 37,284.30 and 7,085.48

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Solution

The fourth proportional to 24,854.85, 37,284.30 and 7,085.48 is: 10,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,854.85 : 37,284.30 = 7,085.48 : x
  2. Step 2: Convert to fraction form
    24,854.85/37,284.30 = 7,085.48/x
  3. Step 3: Cross multiply
    24,854.85x = 37,284.30 × 7,085.48
  4. Step 4: Simplify right side
    24,854.85x = 264,176,975.54
  5. Step 5: Solve for x
    x = 264,176,975.54/24,854.85
  6. Step 6: Final answer
    x = 10,628.79

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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.