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Finding the Fourth Proportional to 20,130.19, 30,191.18 and 7,645.84

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Solution

The fourth proportional to 20,130.19, 30,191.18 and 7,645.84 is: 11,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,130.19 : 30,191.18 = 7,645.84 : x
  2. Step 2: Convert to fraction form
    20,130.19/30,191.18 = 7,645.84/x
  3. Step 3: Cross multiply
    20,130.19x = 30,191.18 × 7,645.84
  4. Step 4: Simplify right side
    20,130.19x = 230,836,875.33
  5. Step 5: Solve for x
    x = 230,836,875.33/20,130.19
  6. Step 6: Final answer
    x = 11,467.20

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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.