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Finding the Fourth Proportional to 23,420.31, 32,320.83 and 12,809.94

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Solution

The fourth proportional to 23,420.31, 32,320.83 and 12,809.94 is: 17,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.31 : 32,320.83 = 12,809.94 : x
  2. Step 2: Convert to fraction form
    23,420.31/32,320.83 = 12,809.94/x
  3. Step 3: Cross multiply
    23,420.31x = 32,320.83 × 12,809.94
  4. Step 4: Simplify right side
    23,420.31x = 414,027,893.05
  5. Step 5: Solve for x
    x = 414,027,893.05/23,420.31
  6. Step 6: Final answer
    x = 17,678.16

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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.