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Finding the Fourth Proportional to 20,407.84, 30,612.14 and 5,616.68

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Solution

The fourth proportional to 20,407.84, 30,612.14 and 5,616.68 is: 8,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.84 : 30,612.14 = 5,616.68 : x
  2. Step 2: Convert to fraction form
    20,407.84/30,612.14 = 5,616.68/x
  3. Step 3: Cross multiply
    20,407.84x = 30,612.14 × 5,616.68
  4. Step 4: Simplify right side
    20,407.84x = 171,938,594.50
  5. Step 5: Solve for x
    x = 171,938,594.50/20,407.84
  6. Step 6: Final answer
    x = 8,425.12

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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.