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Finding the Fourth Proportional to 16,007.96, 24,011.88 and 6,141.84

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Solution

The fourth proportional to 16,007.96, 24,011.88 and 6,141.84 is: 9,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.96 : 24,011.88 = 6,141.84 : x
  2. Step 2: Convert to fraction form
    16,007.96/24,011.88 = 6,141.84/x
  3. Step 3: Cross multiply
    16,007.96x = 24,011.88 × 6,141.84
  4. Step 4: Simplify right side
    16,007.96x = 147,477,125.06
  5. Step 5: Solve for x
    x = 147,477,125.06/16,007.96
  6. Step 6: Final answer
    x = 9,212.74

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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.