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Finding the Fourth Proportional to 14,628.34, 21,954.80 and 6,314.64

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Solution

The fourth proportional to 14,628.34, 21,954.80 and 6,314.64 is: 9,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,628.34 : 21,954.80 = 6,314.64 : x
  2. Step 2: Convert to fraction form
    14,628.34/21,954.80 = 6,314.64/x
  3. Step 3: Cross multiply
    14,628.34x = 21,954.80 × 6,314.64
  4. Step 4: Simplify right side
    14,628.34x = 138,636,516.92
  5. Step 5: Solve for x
    x = 138,636,516.92/14,628.34
  6. Step 6: Final answer
    x = 9,477.26

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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.