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Finding the Fourth Proportional to 16,102.34, 24,154.59 and 4,414.58

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Solution

The fourth proportional to 16,102.34, 24,154.59 and 4,414.58 is: 6,622.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.34 : 24,154.59 = 4,414.58 : x
  2. Step 2: Convert to fraction form
    16,102.34/24,154.59 = 4,414.58/x
  3. Step 3: Cross multiply
    16,102.34x = 24,154.59 × 4,414.58
  4. Step 4: Simplify right side
    16,102.34x = 106,632,369.92
  5. Step 5: Solve for x
    x = 106,632,369.92/16,102.34
  6. Step 6: Final answer
    x = 6,622.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.