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Finding the Fourth Proportional to 15,904, 23,864.68 and 7,696

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Solution

The fourth proportional to 15,904, 23,864.68 and 7,696 is: 11,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904 : 23,864.68 = 7,696 : x
  2. Step 2: Convert to fraction form
    15,904/23,864.68 = 7,696/x
  3. Step 3: Cross multiply
    15,904x = 23,864.68 × 7,696
  4. Step 4: Simplify right side
    15,904x = 183,662,577.28
  5. Step 5: Solve for x
    x = 183,662,577.28/15,904
  6. Step 6: Final answer
    x = 11,548.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.