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Finding the Fourth Proportional to 20,106.40, 30,159.60 and 12,719.20

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Solution

The fourth proportional to 20,106.40, 30,159.60 and 12,719.20 is: 19,078.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.40 : 30,159.60 = 12,719.20 : x
  2. Step 2: Convert to fraction form
    20,106.40/30,159.60 = 12,719.20/x
  3. Step 3: Cross multiply
    20,106.40x = 30,159.60 × 12,719.20
  4. Step 4: Simplify right side
    20,106.40x = 383,605,984.32
  5. Step 5: Solve for x
    x = 383,605,984.32/20,106.40
  6. Step 6: Final answer
    x = 19,078.80

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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.