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Finding the Fourth Proportional to 14,563.44, 21,823.46 and 7,534.07

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Solution

The fourth proportional to 14,563.44, 21,823.46 and 7,534.07 is: 11,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.44 : 21,823.46 = 7,534.07 : x
  2. Step 2: Convert to fraction form
    14,563.44/21,823.46 = 7,534.07/x
  3. Step 3: Cross multiply
    14,563.44x = 21,823.46 × 7,534.07
  4. Step 4: Simplify right side
    14,563.44x = 164,419,328.49
  5. Step 5: Solve for x
    x = 164,419,328.49/14,563.44
  6. Step 6: Final answer
    x = 11,289.87

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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.