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Finding the Fourth Proportional to 24,160.86, 33,343.68 and 13,409.25

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Solution

The fourth proportional to 24,160.86, 33,343.68 and 13,409.25 is: 18,505.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,160.86 : 33,343.68 = 13,409.25 : x
  2. Step 2: Convert to fraction form
    24,160.86/33,343.68 = 13,409.25/x
  3. Step 3: Cross multiply
    24,160.86x = 33,343.68 × 13,409.25
  4. Step 4: Simplify right side
    24,160.86x = 447,113,741.04
  5. Step 5: Solve for x
    x = 447,113,741.04/24,160.86
  6. Step 6: Final answer
    x = 18,505.70

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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.