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Finding the Fourth Proportional to 24,457.41, 33,751.25 and 13,850.46

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Solution

The fourth proportional to 24,457.41, 33,751.25 and 13,850.46 is: 19,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.41 : 33,751.25 = 13,850.46 : x
  2. Step 2: Convert to fraction form
    24,457.41/33,751.25 = 13,850.46/x
  3. Step 3: Cross multiply
    24,457.41x = 33,751.25 × 13,850.46
  4. Step 4: Simplify right side
    24,457.41x = 467,470,268.82
  5. Step 5: Solve for x
    x = 467,470,268.82/24,457.41
  6. Step 6: Final answer
    x = 19,113.65

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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.