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Finding the Fourth Proportional to 18,830.16, 25,984.32 and 10,446

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Solution

The fourth proportional to 18,830.16, 25,984.32 and 10,446 is: 14,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,830.16 : 25,984.32 = 10,446 : x
  2. Step 2: Convert to fraction form
    18,830.16/25,984.32 = 10,446/x
  3. Step 3: Cross multiply
    18,830.16x = 25,984.32 × 10,446
  4. Step 4: Simplify right side
    18,830.16x = 271,432,206.72
  5. Step 5: Solve for x
    x = 271,432,206.72/18,830.16
  6. Step 6: Final answer
    x = 14,414.76

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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.