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Finding the Fourth Proportional to 24,382.16, 33,646.19 and 13,773.32

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Solution

The fourth proportional to 24,382.16, 33,646.19 and 13,773.32 is: 19,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.16 : 33,646.19 = 13,773.32 : x
  2. Step 2: Convert to fraction form
    24,382.16/33,646.19 = 13,773.32/x
  3. Step 3: Cross multiply
    24,382.16x = 33,646.19 × 13,773.32
  4. Step 4: Simplify right side
    24,382.16x = 463,419,504.55
  5. Step 5: Solve for x
    x = 463,419,504.55/24,382.16
  6. Step 6: Final answer
    x = 19,006.50

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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.