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Finding the Fourth Proportional to 14,643.50, 21,965.62 and 5,284.32

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Solution

The fourth proportional to 14,643.50, 21,965.62 and 5,284.32 is: 7,926.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.50 : 21,965.62 = 5,284.32 : x
  2. Step 2: Convert to fraction form
    14,643.50/21,965.62 = 5,284.32/x
  3. Step 3: Cross multiply
    14,643.50x = 21,965.62 × 5,284.32
  4. Step 4: Simplify right side
    14,643.50x = 116,073,365.08
  5. Step 5: Solve for x
    x = 116,073,365.08/14,643.50
  6. Step 6: Final answer
    x = 7,926.61

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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.