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Finding the Fourth Proportional to 15,574.50, 23,361.74 and 14,021.01

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Solution

The fourth proportional to 15,574.50, 23,361.74 and 14,021.01 is: 21,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,574.50 : 23,361.74 = 14,021.01 : x
  2. Step 2: Convert to fraction form
    15,574.50/23,361.74 = 14,021.01/x
  3. Step 3: Cross multiply
    15,574.50x = 23,361.74 × 14,021.01
  4. Step 4: Simplify right side
    15,574.50x = 327,555,120.05
  5. Step 5: Solve for x
    x = 327,555,120.05/15,574.50
  6. Step 6: Final answer
    x = 21,031.50

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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.