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Finding the Fourth Proportional to 24,430.51, 33,684.55 and 20,647

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Solution

The fourth proportional to 24,430.51, 33,684.55 and 20,647 is: 28,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,430.51 : 33,684.55 = 20,647 : x
  2. Step 2: Convert to fraction form
    24,430.51/33,684.55 = 20,647/x
  3. Step 3: Cross multiply
    24,430.51x = 33,684.55 × 20,647
  4. Step 4: Simplify right side
    24,430.51x = 695,484,903.85
  5. Step 5: Solve for x
    x = 695,484,903.85/24,430.51
  6. Step 6: Final answer
    x = 28,467.88

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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.