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Finding the Fourth Proportional to 21,537.50, 32,306.24 and 6,746.49

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Solution

The fourth proportional to 21,537.50, 32,306.24 and 6,746.49 is: 10,119.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,537.50 : 32,306.24 = 6,746.49 : x
  2. Step 2: Convert to fraction form
    21,537.50/32,306.24 = 6,746.49/x
  3. Step 3: Cross multiply
    21,537.50x = 32,306.24 × 6,746.49
  4. Step 4: Simplify right side
    21,537.50x = 217,953,741.96
  5. Step 5: Solve for x
    x = 217,953,741.96/21,537.50
  6. Step 6: Final answer
    x = 10,119.74

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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.