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Finding the Fourth Proportional to 14,019.83, 21,033.12 and 5,254.82

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Solution

The fourth proportional to 14,019.83, 21,033.12 and 5,254.82 is: 7,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,019.83 : 21,033.12 = 5,254.82 : x
  2. Step 2: Convert to fraction form
    14,019.83/21,033.12 = 5,254.82/x
  3. Step 3: Cross multiply
    14,019.83x = 21,033.12 × 5,254.82
  4. Step 4: Simplify right side
    14,019.83x = 110,525,259.64
  5. Step 5: Solve for x
    x = 110,525,259.64/14,019.83
  6. Step 6: Final answer
    x = 7,883.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.