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Finding the Fourth Proportional to 28,140.66, 42,218.10 and 8,419.14

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Solution

The fourth proportional to 28,140.66, 42,218.10 and 8,419.14 is: 12,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,140.66 : 42,218.10 = 8,419.14 : x
  2. Step 2: Convert to fraction form
    28,140.66/42,218.10 = 8,419.14/x
  3. Step 3: Cross multiply
    28,140.66x = 42,218.10 × 8,419.14
  4. Step 4: Simplify right side
    28,140.66x = 355,440,094.43
  5. Step 5: Solve for x
    x = 355,440,094.43/28,140.66
  6. Step 6: Final answer
    x = 12,630.84

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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.