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Finding the Fourth Proportional to 28,284, 42,445.44 and 9,816

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Solution

The fourth proportional to 28,284, 42,445.44 and 9,816 is: 14,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,284 : 42,445.44 = 9,816 : x
  2. Step 2: Convert to fraction form
    28,284/42,445.44 = 9,816/x
  3. Step 3: Cross multiply
    28,284x = 42,445.44 × 9,816
  4. Step 4: Simplify right side
    28,284x = 416,644,439.04
  5. Step 5: Solve for x
    x = 416,644,439.04/28,284
  6. Step 6: Final answer
    x = 14,730.75

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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.