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Finding the Fourth Proportional to 15,906, 23,867.68 and 7,698

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Solution

The fourth proportional to 15,906, 23,867.68 and 7,698 is: 11,551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 23,867.68 = 7,698 : x
  2. Step 2: Convert to fraction form
    15,906/23,867.68 = 7,698/x
  3. Step 3: Cross multiply
    15,906x = 23,867.68 × 7,698
  4. Step 4: Simplify right side
    15,906x = 183,733,400.64
  5. Step 5: Solve for x
    x = 183,733,400.64/15,906
  6. Step 6: Final answer
    x = 11,551.20

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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.