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Finding the Fourth Proportional to 24,153.78, 33,328.18 and 14,082.64

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Solution

The fourth proportional to 24,153.78, 33,328.18 and 14,082.64 is: 19,431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,153.78 : 33,328.18 = 14,082.64 : x
  2. Step 2: Convert to fraction form
    24,153.78/33,328.18 = 14,082.64/x
  3. Step 3: Cross multiply
    24,153.78x = 33,328.18 × 14,082.64
  4. Step 4: Simplify right side
    24,153.78x = 469,348,760.80
  5. Step 5: Solve for x
    x = 469,348,760.80/24,153.78
  6. Step 6: Final answer
    x = 19,431.69

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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.