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Finding the Fourth Proportional to 16,029.80, 22,135.20 and 10,071.80

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Solution

The fourth proportional to 16,029.80, 22,135.20 and 10,071.80 is: 13,907.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.80 : 22,135.20 = 10,071.80 : x
  2. Step 2: Convert to fraction form
    16,029.80/22,135.20 = 10,071.80/x
  3. Step 3: Cross multiply
    16,029.80x = 22,135.20 × 10,071.80
  4. Step 4: Simplify right side
    16,029.80x = 222,941,307.36
  5. Step 5: Solve for x
    x = 222,941,307.36/16,029.80
  6. Step 6: Final answer
    x = 13,907.93

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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.