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Finding the Fourth Proportional to 16,411, 24,626.22 and 7,050.76

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Solution

The fourth proportional to 16,411, 24,626.22 and 7,050.76 is: 10,580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411 : 24,626.22 = 7,050.76 : x
  2. Step 2: Convert to fraction form
    16,411/24,626.22 = 7,050.76/x
  3. Step 3: Cross multiply
    16,411x = 24,626.22 × 7,050.76
  4. Step 4: Simplify right side
    16,411x = 173,633,566.93
  5. Step 5: Solve for x
    x = 173,633,566.93/16,411
  6. Step 6: Final answer
    x = 10,580.32

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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.