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Finding the Fourth Proportional to 19,592.72, 27,019.24 and 12,884

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Solution

The fourth proportional to 19,592.72, 27,019.24 and 12,884 is: 17,767.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,592.72 : 27,019.24 = 12,884 : x
  2. Step 2: Convert to fraction form
    19,592.72/27,019.24 = 12,884/x
  3. Step 3: Cross multiply
    19,592.72x = 27,019.24 × 12,884
  4. Step 4: Simplify right side
    19,592.72x = 348,115,888.16
  5. Step 5: Solve for x
    x = 348,115,888.16/19,592.72
  6. Step 6: Final answer
    x = 17,767.61

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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.