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Finding the Fourth Proportional to 24,442.28, 33,728.10 and 13,830.20

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Solution

The fourth proportional to 24,442.28, 33,728.10 and 13,830.20 is: 19,084.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.28 : 33,728.10 = 13,830.20 : x
  2. Step 2: Convert to fraction form
    24,442.28/33,728.10 = 13,830.20/x
  3. Step 3: Cross multiply
    24,442.28x = 33,728.10 × 13,830.20
  4. Step 4: Simplify right side
    24,442.28x = 466,466,368.62
  5. Step 5: Solve for x
    x = 466,466,368.62/24,442.28
  6. Step 6: Final answer
    x = 19,084.40

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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.