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Finding the Fourth Proportional to 14,200.75, 21,303.65 and 5,876.25

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Solution

The fourth proportional to 14,200.75, 21,303.65 and 5,876.25 is: 8,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.75 : 21,303.65 = 5,876.25 : x
  2. Step 2: Convert to fraction form
    14,200.75/21,303.65 = 5,876.25/x
  3. Step 3: Cross multiply
    14,200.75x = 21,303.65 × 5,876.25
  4. Step 4: Simplify right side
    14,200.75x = 125,185,573.31
  5. Step 5: Solve for x
    x = 125,185,573.31/14,200.75
  6. Step 6: Final answer
    x = 8,815.42

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