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Finding the Fourth Proportional to 27,258.64, 37,617.12 and 15,322

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Solution

The fourth proportional to 27,258.64, 37,617.12 and 15,322 is: 21,144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,258.64 : 37,617.12 = 15,322 : x
  2. Step 2: Convert to fraction form
    27,258.64/37,617.12 = 15,322/x
  3. Step 3: Cross multiply
    27,258.64x = 37,617.12 × 15,322
  4. Step 4: Simplify right side
    27,258.64x = 576,369,512.64
  5. Step 5: Solve for x
    x = 576,369,512.64/27,258.64
  6. Step 6: Final answer
    x = 21,144.47

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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.