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Finding the Fourth Proportional to 16,003.98, 22,077.77 and 10,033.47

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Solution

The fourth proportional to 16,003.98, 22,077.77 and 10,033.47 is: 13,841.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,003.98 : 22,077.77 = 10,033.47 : x
  2. Step 2: Convert to fraction form
    16,003.98/22,077.77 = 10,033.47/x
  3. Step 3: Cross multiply
    16,003.98x = 22,077.77 × 10,033.47
  4. Step 4: Simplify right side
    16,003.98x = 221,516,592.79
  5. Step 5: Solve for x
    x = 221,516,592.79/16,003.98
  6. Step 6: Final answer
    x = 13,841.34

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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.