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Finding the Fourth Proportional to 20,106.05, 30,152.07 and 8,256.45

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Solution

The fourth proportional to 20,106.05, 30,152.07 and 8,256.45 is: 12,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.05 : 30,152.07 = 8,256.45 : x
  2. Step 2: Convert to fraction form
    20,106.05/30,152.07 = 8,256.45/x
  3. Step 3: Cross multiply
    20,106.05x = 30,152.07 × 8,256.45
  4. Step 4: Simplify right side
    20,106.05x = 248,949,058.35
  5. Step 5: Solve for x
    x = 248,949,058.35/20,106.05
  6. Step 6: Final answer
    x = 12,381.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.