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Finding the Fourth Proportional to 30,028.51, 41,437.16 and 16,600

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Solution

The fourth proportional to 30,028.51, 41,437.16 and 16,600 is: 22,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,028.51 : 41,437.16 = 16,600 : x
  2. Step 2: Convert to fraction form
    30,028.51/41,437.16 = 16,600/x
  3. Step 3: Cross multiply
    30,028.51x = 41,437.16 × 16,600
  4. Step 4: Simplify right side
    30,028.51x = 687,856,897.50
  5. Step 5: Solve for x
    x = 687,856,897.50/30,028.51
  6. Step 6: Final answer
    x = 22,906.80

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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.