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Finding the Fourth Proportional to 24,230.53, 33,433.23 and 14,157.02

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Solution

The fourth proportional to 24,230.53, 33,433.23 and 14,157.02 is: 19,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.53 : 33,433.23 = 14,157.02 : x
  2. Step 2: Convert to fraction form
    24,230.53/33,433.23 = 14,157.02/x
  3. Step 3: Cross multiply
    24,230.53x = 33,433.23 × 14,157.02
  4. Step 4: Simplify right side
    24,230.53x = 473,314,989.36
  5. Step 5: Solve for x
    x = 473,314,989.36/24,230.53
  6. Step 6: Final answer
    x = 19,533.83

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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.