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Finding the Fourth Proportional to 14,534.84, 21,804.46 and 6,214.88

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Solution

The fourth proportional to 14,534.84, 21,804.46 and 6,214.88 is: 9,323.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.84 : 21,804.46 = 6,214.88 : x
  2. Step 2: Convert to fraction form
    14,534.84/21,804.46 = 6,214.88/x
  3. Step 3: Cross multiply
    14,534.84x = 21,804.46 × 6,214.88
  4. Step 4: Simplify right side
    14,534.84x = 135,511,977.81
  5. Step 5: Solve for x
    x = 135,511,977.81/14,534.84
  6. Step 6: Final answer
    x = 9,323.26

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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.