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Finding the Fourth Proportional to 24,157.67, 33,339.29 and 13,405.98

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Solution

The fourth proportional to 24,157.67, 33,339.29 and 13,405.98 is: 18,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,157.67 : 33,339.29 = 13,405.98 : x
  2. Step 2: Convert to fraction form
    24,157.67/33,339.29 = 13,405.98/x
  3. Step 3: Cross multiply
    24,157.67x = 33,339.29 × 13,405.98
  4. Step 4: Simplify right side
    24,157.67x = 446,945,787.92
  5. Step 5: Solve for x
    x = 446,945,787.92/24,157.67
  6. Step 6: Final answer
    x = 18,501.20

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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.