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Finding the Fourth Proportional to 14,651.94, 21,989.72 and 7,634.10

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Solution

The fourth proportional to 14,651.94, 21,989.72 and 7,634.10 is: 11,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.94 : 21,989.72 = 7,634.10 : x
  2. Step 2: Convert to fraction form
    14,651.94/21,989.72 = 7,634.10/x
  3. Step 3: Cross multiply
    14,651.94x = 21,989.72 × 7,634.10
  4. Step 4: Simplify right side
    14,651.94x = 167,871,721.45
  5. Step 5: Solve for x
    x = 167,871,721.45/14,651.94
  6. Step 6: Final answer
    x = 11,457.30

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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.