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Finding the Fourth Proportional to 15,683.96, 23,532.51 and 9,765.80

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Solution

The fourth proportional to 15,683.96, 23,532.51 and 9,765.80 is: 14,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.96 : 23,532.51 = 9,765.80 : x
  2. Step 2: Convert to fraction form
    15,683.96/23,532.51 = 9,765.80/x
  3. Step 3: Cross multiply
    15,683.96x = 23,532.51 × 9,765.80
  4. Step 4: Simplify right side
    15,683.96x = 229,813,668.50
  5. Step 5: Solve for x
    x = 229,813,668.50/15,683.96
  6. Step 6: Final answer
    x = 14,652.79

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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.