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Finding the Fourth Proportional to 25,712.64, 38,523.20 and 17,906.24

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Solution

The fourth proportional to 25,712.64, 38,523.20 and 17,906.24 is: 26,827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.64 : 38,523.20 = 17,906.24 : x
  2. Step 2: Convert to fraction form
    25,712.64/38,523.20 = 17,906.24/x
  3. Step 3: Cross multiply
    25,712.64x = 38,523.20 × 17,906.24
  4. Step 4: Simplify right side
    25,712.64x = 689,805,664.77
  5. Step 5: Solve for x
    x = 689,805,664.77/25,712.64
  6. Step 6: Final answer
    x = 26,827.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.