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Finding the Fourth Proportional to 24,457.65, 33,752.09 and 13,703.31

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Solution

The fourth proportional to 24,457.65, 33,752.09 and 13,703.31 is: 18,910.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.65 : 33,752.09 = 13,703.31 : x
  2. Step 2: Convert to fraction form
    24,457.65/33,752.09 = 13,703.31/x
  3. Step 3: Cross multiply
    24,457.65x = 33,752.09 × 13,703.31
  4. Step 4: Simplify right side
    24,457.65x = 462,515,386.68
  5. Step 5: Solve for x
    x = 462,515,386.68/24,457.65
  6. Step 6: Final answer
    x = 18,910.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.