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Finding the Fourth Proportional to 14,643.61, 21,965.68 and 5,284.33

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Solution

The fourth proportional to 14,643.61, 21,965.68 and 5,284.33 is: 7,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.61 : 21,965.68 = 5,284.33 : x
  2. Step 2: Convert to fraction form
    14,643.61/21,965.68 = 5,284.33/x
  3. Step 3: Cross multiply
    14,643.61x = 21,965.68 × 5,284.33
  4. Step 4: Simplify right side
    14,643.61x = 116,073,853.49
  5. Step 5: Solve for x
    x = 116,073,853.49/14,643.61
  6. Step 6: Final answer
    x = 7,926.59

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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.