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Finding the Fourth Proportional to 16,140.84, 24,211.86 and 4,454.94

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Solution

The fourth proportional to 16,140.84, 24,211.86 and 4,454.94 is: 6,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.84 : 24,211.86 = 4,454.94 : x
  2. Step 2: Convert to fraction form
    16,140.84/24,211.86 = 4,454.94/x
  3. Step 3: Cross multiply
    16,140.84x = 24,211.86 × 4,454.94
  4. Step 4: Simplify right side
    16,140.84x = 107,862,383.59
  5. Step 5: Solve for x
    x = 107,862,383.59/16,140.84
  6. Step 6: Final answer
    x = 6,682.58

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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.