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Finding the Fourth Proportional to 24,612.64, 33,965.40 and 13,434.64

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Solution

The fourth proportional to 24,612.64, 33,965.40 and 13,434.64 is: 18,539.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.64 : 33,965.40 = 13,434.64 : x
  2. Step 2: Convert to fraction form
    24,612.64/33,965.40 = 13,434.64/x
  3. Step 3: Cross multiply
    24,612.64x = 33,965.40 × 13,434.64
  4. Step 4: Simplify right side
    24,612.64x = 456,312,921.46
  5. Step 5: Solve for x
    x = 456,312,921.46/24,612.64
  6. Step 6: Final answer
    x = 18,539.78

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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.