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Finding the Fourth Proportional to 16,532.69, 24,802.86 and 4,846.82

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Solution

The fourth proportional to 16,532.69, 24,802.86 and 4,846.82 is: 7,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,532.69 : 24,802.86 = 4,846.82 : x
  2. Step 2: Convert to fraction form
    16,532.69/24,802.86 = 4,846.82/x
  3. Step 3: Cross multiply
    16,532.69x = 24,802.86 × 4,846.82
  4. Step 4: Simplify right side
    16,532.69x = 120,214,997.91
  5. Step 5: Solve for x
    x = 120,214,997.91/16,532.69
  6. Step 6: Final answer
    x = 7,271.35

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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.