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Finding the Fourth Proportional to 26,258.56, 36,236.28 and 14,322

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Solution

The fourth proportional to 26,258.56, 36,236.28 and 14,322 is: 19,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,258.56 : 36,236.28 = 14,322 : x
  2. Step 2: Convert to fraction form
    26,258.56/36,236.28 = 14,322/x
  3. Step 3: Cross multiply
    26,258.56x = 36,236.28 × 14,322
  4. Step 4: Simplify right side
    26,258.56x = 518,976,002.16
  5. Step 5: Solve for x
    x = 518,976,002.16/26,258.56
  6. Step 6: Final answer
    x = 19,764.07

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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.