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Finding the Fourth Proportional to 23,412.82, 32,309.70 and 12,802.54

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Solution

The fourth proportional to 23,412.82, 32,309.70 and 12,802.54 is: 17,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,412.82 : 32,309.70 = 12,802.54 : x
  2. Step 2: Convert to fraction form
    23,412.82/32,309.70 = 12,802.54/x
  3. Step 3: Cross multiply
    23,412.82x = 32,309.70 × 12,802.54
  4. Step 4: Simplify right side
    23,412.82x = 413,646,226.64
  5. Step 5: Solve for x
    x = 413,646,226.64/23,412.82
  6. Step 6: Final answer
    x = 17,667.51

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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.