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Finding the Fourth Proportional to 19,904, 27,476.16 and 12,456.32

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Solution

The fourth proportional to 19,904, 27,476.16 and 12,456.32 is: 17,195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,904 : 27,476.16 = 12,456.32 : x
  2. Step 2: Convert to fraction form
    19,904/27,476.16 = 12,456.32/x
  3. Step 3: Cross multiply
    19,904x = 27,476.16 × 12,456.32
  4. Step 4: Simplify right side
    19,904x = 342,251,841.33
  5. Step 5: Solve for x
    x = 342,251,841.33/19,904
  6. Step 6: Final answer
    x = 17,195.13

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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.