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Finding the Fourth Proportional to 24,509.25, 33,822.90 and 13,331.25

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Solution

The fourth proportional to 24,509.25, 33,822.90 and 13,331.25 is: 18,397.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.25 : 33,822.90 = 13,331.25 : x
  2. Step 2: Convert to fraction form
    24,509.25/33,822.90 = 13,331.25/x
  3. Step 3: Cross multiply
    24,509.25x = 33,822.90 × 13,331.25
  4. Step 4: Simplify right side
    24,509.25x = 450,901,535.63
  5. Step 5: Solve for x
    x = 450,901,535.63/24,509.25
  6. Step 6: Final answer
    x = 18,397.20

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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.