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Finding the Fourth Proportional to 16,051.76, 24,081.59 and 4,958.20

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Solution

The fourth proportional to 16,051.76, 24,081.59 and 4,958.20 is: 7,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.76 : 24,081.59 = 4,958.20 : x
  2. Step 2: Convert to fraction form
    16,051.76/24,081.59 = 4,958.20/x
  3. Step 3: Cross multiply
    16,051.76x = 24,081.59 × 4,958.20
  4. Step 4: Simplify right side
    16,051.76x = 119,401,339.54
  5. Step 5: Solve for x
    x = 119,401,339.54/16,051.76
  6. Step 6: Final answer
    x = 7,438.52

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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.