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Finding the Fourth Proportional to 15,664.82, 23,480.82 and 7,337.81

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Solution

The fourth proportional to 15,664.82, 23,480.82 and 7,337.81 is: 10,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.82 : 23,480.82 = 7,337.81 : x
  2. Step 2: Convert to fraction form
    15,664.82/23,480.82 = 7,337.81/x
  3. Step 3: Cross multiply
    15,664.82x = 23,480.82 × 7,337.81
  4. Step 4: Simplify right side
    15,664.82x = 172,297,854.51
  5. Step 5: Solve for x
    x = 172,297,854.51/15,664.82
  6. Step 6: Final answer
    x = 10,999.04

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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.