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Finding the Fourth Proportional to 24,157.86, 33,339.54 and 13,406.25

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Solution

The fourth proportional to 24,157.86, 33,339.54 and 13,406.25 is: 18,501.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.86 : 33,339.54 = 13,406.25 : x
  2. Step 2: Convert to fraction form
    24,157.86/33,339.54 = 13,406.25/x
  3. Step 3: Cross multiply
    24,157.86x = 33,339.54 × 13,406.25
  4. Step 4: Simplify right side
    24,157.86x = 446,958,208.13
  5. Step 5: Solve for x
    x = 446,958,208.13/24,157.86
  6. Step 6: Final answer
    x = 18,501.56

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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.