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Finding the Fourth Proportional to 30,952.37, 42,714.45 and 18,206.09

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Solution

The fourth proportional to 30,952.37, 42,714.45 and 18,206.09 is: 25,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,952.37 : 42,714.45 = 18,206.09 : x
  2. Step 2: Convert to fraction form
    30,952.37/42,714.45 = 18,206.09/x
  3. Step 3: Cross multiply
    30,952.37x = 42,714.45 × 18,206.09
  4. Step 4: Simplify right side
    30,952.37x = 777,662,907.43
  5. Step 5: Solve for x
    x = 777,662,907.43/30,952.37
  6. Step 6: Final answer
    x = 25,124.51

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