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Finding the Fourth Proportional to 15,921.33, 23,878.03 and 6,558.81

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Solution

The fourth proportional to 15,921.33, 23,878.03 and 6,558.81 is: 9,836.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.33 : 23,878.03 = 6,558.81 : x
  2. Step 2: Convert to fraction form
    15,921.33/23,878.03 = 6,558.81/x
  3. Step 3: Cross multiply
    15,921.33x = 23,878.03 × 6,558.81
  4. Step 4: Simplify right side
    15,921.33x = 156,611,461.94
  5. Step 5: Solve for x
    x = 156,611,461.94/15,921.33
  6. Step 6: Final answer
    x = 9,836.58

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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.