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Finding the Fourth Proportional to 15,664.56, 23,502.98 and 6,893.31

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Solution

The fourth proportional to 15,664.56, 23,502.98 and 6,893.31 is: 10,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,664.56 : 23,502.98 = 6,893.31 : x
  2. Step 2: Convert to fraction form
    15,664.56/23,502.98 = 6,893.31/x
  3. Step 3: Cross multiply
    15,664.56x = 23,502.98 × 6,893.31
  4. Step 4: Simplify right side
    15,664.56x = 162,013,327.06
  5. Step 5: Solve for x
    x = 162,013,327.06/15,664.56
  6. Step 6: Final answer
    x = 10,342.67

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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.