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Finding the Fourth Proportional to 15,649.69, 23,443.26 and 9,406.32

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Solution

The fourth proportional to 15,649.69, 23,443.26 and 9,406.32 is: 14,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.69 : 23,443.26 = 9,406.32 : x
  2. Step 2: Convert to fraction form
    15,649.69/23,443.26 = 9,406.32/x
  3. Step 3: Cross multiply
    15,649.69x = 23,443.26 × 9,406.32
  4. Step 4: Simplify right side
    15,649.69x = 220,514,864.01
  5. Step 5: Solve for x
    x = 220,514,864.01/15,649.69
  6. Step 6: Final answer
    x = 14,090.69

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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.