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Finding the Fourth Proportional to 23,812.25, 35,710.71 and 8,012.99

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Solution

The fourth proportional to 23,812.25, 35,710.71 and 8,012.99 is: 12,016.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.25 : 35,710.71 = 8,012.99 : x
  2. Step 2: Convert to fraction form
    23,812.25/35,710.71 = 8,012.99/x
  3. Step 3: Cross multiply
    23,812.25x = 35,710.71 × 8,012.99
  4. Step 4: Simplify right side
    23,812.25x = 286,149,621.35
  5. Step 5: Solve for x
    x = 286,149,621.35/23,812.25
  6. Step 6: Final answer
    x = 12,016.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.