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Finding the Fourth Proportional to 21,537.57, 32,297.07 and 8,386.86

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Solution

The fourth proportional to 21,537.57, 32,297.07 and 8,386.86 is: 12,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.57 : 32,297.07 = 8,386.86 : x
  2. Step 2: Convert to fraction form
    21,537.57/32,297.07 = 8,386.86/x
  3. Step 3: Cross multiply
    21,537.57x = 32,297.07 × 8,386.86
  4. Step 4: Simplify right side
    21,537.57x = 270,871,004.50
  5. Step 5: Solve for x
    x = 270,871,004.50/21,537.57
  6. Step 6: Final answer
    x = 12,576.67

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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.