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Finding the Fourth Proportional to 24,886, 34,342.68 and 13,708

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Solution

The fourth proportional to 24,886, 34,342.68 and 13,708 is: 18,917.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,886 : 34,342.68 = 13,708 : x
  2. Step 2: Convert to fraction form
    24,886/34,342.68 = 13,708/x
  3. Step 3: Cross multiply
    24,886x = 34,342.68 × 13,708
  4. Step 4: Simplify right side
    24,886x = 470,769,457.44
  5. Step 5: Solve for x
    x = 470,769,457.44/24,886
  6. Step 6: Final answer
    x = 18,917.04

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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.