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Finding the Fourth Proportional to 20,106.04, 30,154.20 and 8,428

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Solution

The fourth proportional to 20,106.04, 30,154.20 and 8,428 is: 12,639.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.04 : 30,154.20 = 8,428 : x
  2. Step 2: Convert to fraction form
    20,106.04/30,154.20 = 8,428/x
  3. Step 3: Cross multiply
    20,106.04x = 30,154.20 × 8,428
  4. Step 4: Simplify right side
    20,106.04x = 254,139,597.60
  5. Step 5: Solve for x
    x = 254,139,597.60/20,106.04
  6. Step 6: Final answer
    x = 12,639.96

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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.