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Finding the Fourth Proportional to 19,909, 27,483.06 and 12,461.32

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Solution

The fourth proportional to 19,909, 27,483.06 and 12,461.32 is: 17,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909 : 27,483.06 = 12,461.32 : x
  2. Step 2: Convert to fraction form
    19,909/27,483.06 = 12,461.32/x
  3. Step 3: Cross multiply
    19,909x = 27,483.06 × 12,461.32
  4. Step 4: Simplify right side
    19,909x = 342,475,205.24
  5. Step 5: Solve for x
    x = 342,475,205.24/19,909
  6. Step 6: Final answer
    x = 17,202.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.