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Finding the Fourth Proportional to 15,864.96, 23,784 and 9,696

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Solution

The fourth proportional to 15,864.96, 23,784 and 9,696 is: 14,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,864.96 : 23,784 = 9,696 : x
  2. Step 2: Convert to fraction form
    15,864.96/23,784 = 9,696/x
  3. Step 3: Cross multiply
    15,864.96x = 23,784 × 9,696
  4. Step 4: Simplify right side
    15,864.96x = 230,609,664
  5. Step 5: Solve for x
    x = 230,609,664/15,864.96
  6. Step 6: Final answer
    x = 14,535.79

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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.