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Finding the Fourth Proportional to 23,854.02, 35,782 and 6,085.14

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Solution

The fourth proportional to 23,854.02, 35,782 and 6,085.14 is: 9,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,854.02 : 35,782 = 6,085.14 : x
  2. Step 2: Convert to fraction form
    23,854.02/35,782 = 6,085.14/x
  3. Step 3: Cross multiply
    23,854.02x = 35,782 × 6,085.14
  4. Step 4: Simplify right side
    23,854.02x = 217,738,479.48
  5. Step 5: Solve for x
    x = 217,738,479.48/23,854.02
  6. Step 6: Final answer
    x = 9,127.96

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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.