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Finding the Fourth Proportional to 30,196.07, 41,674.41 and 18,259.49

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Solution

The fourth proportional to 30,196.07, 41,674.41 and 18,259.49 is: 25,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196.07 : 41,674.41 = 18,259.49 : x
  2. Step 2: Convert to fraction form
    30,196.07/41,674.41 = 18,259.49/x
  3. Step 3: Cross multiply
    30,196.07x = 41,674.41 × 18,259.49
  4. Step 4: Simplify right side
    30,196.07x = 760,953,264.28
  5. Step 5: Solve for x
    x = 760,953,264.28/30,196.07
  6. Step 6: Final answer
    x = 25,200.41

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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.