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Finding the Fourth Proportional to 16,265.75, 24,379.79 and 7,482.23

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Solution

The fourth proportional to 16,265.75, 24,379.79 and 7,482.23 is: 11,214.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265.75 : 24,379.79 = 7,482.23 : x
  2. Step 2: Convert to fraction form
    16,265.75/24,379.79 = 7,482.23/x
  3. Step 3: Cross multiply
    16,265.75x = 24,379.79 × 7,482.23
  4. Step 4: Simplify right side
    16,265.75x = 182,415,036.82
  5. Step 5: Solve for x
    x = 182,415,036.82/16,265.75
  6. Step 6: Final answer
    x = 11,214.67

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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.