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Finding the Fourth Proportional to 20,106.58, 30,150.09 and 6,064

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Solution

The fourth proportional to 20,106.58, 30,150.09 and 6,064 is: 9,093.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.58 : 30,150.09 = 6,064 : x
  2. Step 2: Convert to fraction form
    20,106.58/30,150.09 = 6,064/x
  3. Step 3: Cross multiply
    20,106.58x = 30,150.09 × 6,064
  4. Step 4: Simplify right side
    20,106.58x = 182,830,145.76
  5. Step 5: Solve for x
    x = 182,830,145.76/20,106.58
  6. Step 6: Final answer
    x = 9,093.05

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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.