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Finding the Fourth Proportional to 20,537.76, 30,808.52 and 5,746.63

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Solution

The fourth proportional to 20,537.76, 30,808.52 and 5,746.63 is: 8,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.76 : 30,808.52 = 5,746.63 : x
  2. Step 2: Convert to fraction form
    20,537.76/30,808.52 = 5,746.63/x
  3. Step 3: Cross multiply
    20,537.76x = 30,808.52 × 5,746.63
  4. Step 4: Simplify right side
    20,537.76x = 177,045,165.29
  5. Step 5: Solve for x
    x = 177,045,165.29/20,537.76
  6. Step 6: Final answer
    x = 8,620.47

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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.