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Finding the Fourth Proportional to 24,232.64, 33,457.60 and 17,860

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Solution

The fourth proportional to 24,232.64, 33,457.60 and 17,860 is: 24,659.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,232.64 : 33,457.60 = 17,860 : x
  2. Step 2: Convert to fraction form
    24,232.64/33,457.60 = 17,860/x
  3. Step 3: Cross multiply
    24,232.64x = 33,457.60 × 17,860
  4. Step 4: Simplify right side
    24,232.64x = 597,552,736
  5. Step 5: Solve for x
    x = 597,552,736/24,232.64
  6. Step 6: Final answer
    x = 24,659.00

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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.