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Finding the Fourth Proportional to 24,157.87, 33,339.78 and 13,403.81

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Solution

The fourth proportional to 24,157.87, 33,339.78 and 13,403.81 is: 18,498.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.87 : 33,339.78 = 13,403.81 : x
  2. Step 2: Convert to fraction form
    24,157.87/33,339.78 = 13,403.81/x
  3. Step 3: Cross multiply
    24,157.87x = 33,339.78 × 13,403.81
  4. Step 4: Simplify right side
    24,157.87x = 446,880,159.91
  5. Step 5: Solve for x
    x = 446,880,159.91/24,157.87
  6. Step 6: Final answer
    x = 18,498.33

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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.