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Finding the Fourth Proportional to 19,931.76, 27,515.16 and 11,546.64

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Solution

The fourth proportional to 19,931.76, 27,515.16 and 11,546.64 is: 15,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,931.76 : 27,515.16 = 11,546.64 : x
  2. Step 2: Convert to fraction form
    19,931.76/27,515.16 = 11,546.64/x
  3. Step 3: Cross multiply
    19,931.76x = 27,515.16 × 11,546.64
  4. Step 4: Simplify right side
    19,931.76x = 317,707,647.06
  5. Step 5: Solve for x
    x = 317,707,647.06/19,931.76
  6. Step 6: Final answer
    x = 15,939.77

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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.