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Finding the Fourth Proportional to 22,626.24, 31,200.64 and 13,672

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Solution

The fourth proportional to 22,626.24, 31,200.64 and 13,672 is: 18,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,626.24 : 31,200.64 = 13,672 : x
  2. Step 2: Convert to fraction form
    22,626.24/31,200.64 = 13,672/x
  3. Step 3: Cross multiply
    22,626.24x = 31,200.64 × 13,672
  4. Step 4: Simplify right side
    22,626.24x = 426,575,150.08
  5. Step 5: Solve for x
    x = 426,575,150.08/22,626.24
  6. Step 6: Final answer
    x = 18,853.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.