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Finding the Fourth Proportional to 16,019.01, 22,100.38 and 10,048.50

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Solution

The fourth proportional to 16,019.01, 22,100.38 and 10,048.50 is: 13,863.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.01 : 22,100.38 = 10,048.50 : x
  2. Step 2: Convert to fraction form
    16,019.01/22,100.38 = 10,048.50/x
  3. Step 3: Cross multiply
    16,019.01x = 22,100.38 × 10,048.50
  4. Step 4: Simplify right side
    16,019.01x = 222,075,643.31
  5. Step 5: Solve for x
    x = 222,075,643.31/16,019.01
  6. Step 6: Final answer
    x = 13,863.26

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Why These Related Problems?

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