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Finding the Fourth Proportional to 14,653.84, 21,989.42 and 5,426.32

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Solution

The fourth proportional to 14,653.84, 21,989.42 and 5,426.32 is: 8,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.84 : 21,989.42 = 5,426.32 : x
  2. Step 2: Convert to fraction form
    14,653.84/21,989.42 = 5,426.32/x
  3. Step 3: Cross multiply
    14,653.84x = 21,989.42 × 5,426.32
  4. Step 4: Simplify right side
    14,653.84x = 119,321,629.53
  5. Step 5: Solve for x
    x = 119,321,629.53/14,653.84
  6. Step 6: Final answer
    x = 8,142.69

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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.