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Finding the Fourth Proportional to 23,614.56, 32,588.10 and 14,183.10

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Solution

The fourth proportional to 23,614.56, 32,588.10 and 14,183.10 is: 19,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,614.56 : 32,588.10 = 14,183.10 : x
  2. Step 2: Convert to fraction form
    23,614.56/32,588.10 = 14,183.10/x
  3. Step 3: Cross multiply
    23,614.56x = 32,588.10 × 14,183.10
  4. Step 4: Simplify right side
    23,614.56x = 462,200,281.11
  5. Step 5: Solve for x
    x = 462,200,281.11/23,614.56
  6. Step 6: Final answer
    x = 19,572.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.