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Finding the Fourth Proportional to 16,034, 24,051.36 and 5,504

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Solution

The fourth proportional to 16,034, 24,051.36 and 5,504 is: 8,256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,034 : 24,051.36 = 5,504 : x
  2. Step 2: Convert to fraction form
    16,034/24,051.36 = 5,504/x
  3. Step 3: Cross multiply
    16,034x = 24,051.36 × 5,504
  4. Step 4: Simplify right side
    16,034x = 132,378,685.44
  5. Step 5: Solve for x
    x = 132,378,685.44/16,034
  6. Step 6: Final answer
    x = 8,256.12

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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.