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Finding the Fourth Proportional to 24,165.84, 33,349.13 and 13,410.92

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Solution

The fourth proportional to 24,165.84, 33,349.13 and 13,410.92 is: 18,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.84 : 33,349.13 = 13,410.92 : x
  2. Step 2: Convert to fraction form
    24,165.84/33,349.13 = 13,410.92/x
  3. Step 3: Cross multiply
    24,165.84x = 33,349.13 × 13,410.92
  4. Step 4: Simplify right side
    24,165.84x = 447,242,381.28
  5. Step 5: Solve for x
    x = 447,242,381.28/24,165.84
  6. Step 6: Final answer
    x = 18,507.21

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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.