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Finding the Fourth Proportional to 14,203.46, 21,307.89 and 6,412.25

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Solution

The fourth proportional to 14,203.46, 21,307.89 and 6,412.25 is: 9,619.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.46 : 21,307.89 = 6,412.25 : x
  2. Step 2: Convert to fraction form
    14,203.46/21,307.89 = 6,412.25/x
  3. Step 3: Cross multiply
    14,203.46x = 21,307.89 × 6,412.25
  4. Step 4: Simplify right side
    14,203.46x = 136,631,517.65
  5. Step 5: Solve for x
    x = 136,631,517.65/14,203.46
  6. Step 6: Final answer
    x = 9,619.59

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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.