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Finding the Fourth Proportional to 15,812.53, 23,717.94 and 8,021.14

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Solution

The fourth proportional to 15,812.53, 23,717.94 and 8,021.14 is: 12,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,812.53 : 23,717.94 = 8,021.14 : x
  2. Step 2: Convert to fraction form
    15,812.53/23,717.94 = 8,021.14/x
  3. Step 3: Cross multiply
    15,812.53x = 23,717.94 × 8,021.14
  4. Step 4: Simplify right side
    15,812.53x = 190,244,917.25
  5. Step 5: Solve for x
    x = 190,244,917.25/15,812.53
  6. Step 6: Final answer
    x = 12,031.28

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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.