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Finding the Fourth Proportional to 15,649.82, 23,443.46 and 9,406.46

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Solution

The fourth proportional to 15,649.82, 23,443.46 and 9,406.46 is: 14,090.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.82 : 23,443.46 = 9,406.46 : x
  2. Step 2: Convert to fraction form
    15,649.82/23,443.46 = 9,406.46/x
  3. Step 3: Cross multiply
    15,649.82x = 23,443.46 × 9,406.46
  4. Step 4: Simplify right side
    15,649.82x = 220,519,804.50
  5. Step 5: Solve for x
    x = 220,519,804.50/15,649.82
  6. Step 6: Final answer
    x = 14,090.89

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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.