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Finding the Fourth Proportional to 23,259.42, 32,097.11 and 12,649.07

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Solution

The fourth proportional to 23,259.42, 32,097.11 and 12,649.07 is: 17,455.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,259.42 : 32,097.11 = 12,649.07 : x
  2. Step 2: Convert to fraction form
    23,259.42/32,097.11 = 12,649.07/x
  3. Step 3: Cross multiply
    23,259.42x = 32,097.11 × 12,649.07
  4. Step 4: Simplify right side
    23,259.42x = 405,998,367.46
  5. Step 5: Solve for x
    x = 405,998,367.46/23,259.42
  6. Step 6: Final answer
    x = 17,455.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.