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Finding the Fourth Proportional to 16,312.69, 24,457.06 and 5,212.97

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Solution

The fourth proportional to 16,312.69, 24,457.06 and 5,212.97 is: 7,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.69 : 24,457.06 = 5,212.97 : x
  2. Step 2: Convert to fraction form
    16,312.69/24,457.06 = 5,212.97/x
  3. Step 3: Cross multiply
    16,312.69x = 24,457.06 × 5,212.97
  4. Step 4: Simplify right side
    16,312.69x = 127,494,004.26
  5. Step 5: Solve for x
    x = 127,494,004.26/16,312.69
  6. Step 6: Final answer
    x = 7,815.63

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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.