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Finding the Fourth Proportional to 14,646.35, 21,956.54 and 5,284.17

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Solution

The fourth proportional to 14,646.35, 21,956.54 and 5,284.17 is: 7,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.35 : 21,956.54 = 5,284.17 : x
  2. Step 2: Convert to fraction form
    14,646.35/21,956.54 = 5,284.17/x
  3. Step 3: Cross multiply
    14,646.35x = 21,956.54 × 5,284.17
  4. Step 4: Simplify right side
    14,646.35x = 116,022,063.55
  5. Step 5: Solve for x
    x = 116,022,063.55/14,646.35
  6. Step 6: Final answer
    x = 7,921.57

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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.