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Finding the Fourth Proportional to 18,946.12, 28,419.72 and 5,798.20

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Solution

The fourth proportional to 18,946.12, 28,419.72 and 5,798.20 is: 8,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,946.12 : 28,419.72 = 5,798.20 : x
  2. Step 2: Convert to fraction form
    18,946.12/28,419.72 = 5,798.20/x
  3. Step 3: Cross multiply
    18,946.12x = 28,419.72 × 5,798.20
  4. Step 4: Simplify right side
    18,946.12x = 164,783,220.50
  5. Step 5: Solve for x
    x = 164,783,220.50/18,946.12
  6. Step 6: Final answer
    x = 8,697.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.