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Finding the Fourth Proportional to 16,426.08, 24,640.80 and 4,741.08

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Solution

The fourth proportional to 16,426.08, 24,640.80 and 4,741.08 is: 7,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426.08 : 24,640.80 = 4,741.08 : x
  2. Step 2: Convert to fraction form
    16,426.08/24,640.80 = 4,741.08/x
  3. Step 3: Cross multiply
    16,426.08x = 24,640.80 × 4,741.08
  4. Step 4: Simplify right side
    16,426.08x = 116,824,004.06
  5. Step 5: Solve for x
    x = 116,824,004.06/16,426.08
  6. Step 6: Final answer
    x = 7,112.10

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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.