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Finding the Fourth Proportional to 10,415.96, 15,586.68 and 9,720.80

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Solution

The fourth proportional to 10,415.96, 15,586.68 and 9,720.80 is: 14,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.96 : 15,586.68 = 9,720.80 : x
  2. Step 2: Convert to fraction form
    10,415.96/15,586.68 = 9,720.80/x
  3. Step 3: Cross multiply
    10,415.96x = 15,586.68 × 9,720.80
  4. Step 4: Simplify right side
    10,415.96x = 151,514,998.94
  5. Step 5: Solve for x
    x = 151,514,998.94/10,415.96
  6. Step 6: Final answer
    x = 14,546.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.