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Finding the Fourth Proportional to 23,204.51, 32,022.25 and 12,594.14

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Solution

The fourth proportional to 23,204.51, 32,022.25 and 12,594.14 is: 17,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,204.51 : 32,022.25 = 12,594.14 : x
  2. Step 2: Convert to fraction form
    23,204.51/32,022.25 = 12,594.14/x
  3. Step 3: Cross multiply
    23,204.51x = 32,022.25 × 12,594.14
  4. Step 4: Simplify right side
    23,204.51x = 403,292,636.64
  5. Step 5: Solve for x
    x = 403,292,636.64/23,204.51
  6. Step 6: Final answer
    x = 17,379.92

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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.