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Finding the Fourth Proportional to 23,284.83, 32,133.06 and 12,674.54

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Solution

The fourth proportional to 23,284.83, 32,133.06 and 12,674.54 is: 17,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.83 : 32,133.06 = 12,674.54 : x
  2. Step 2: Convert to fraction form
    23,284.83/32,133.06 = 12,674.54/x
  3. Step 3: Cross multiply
    23,284.83x = 32,133.06 × 12,674.54
  4. Step 4: Simplify right side
    23,284.83x = 407,271,593.63
  5. Step 5: Solve for x
    x = 407,271,593.63/23,284.83
  6. Step 6: Final answer
    x = 17,490.86

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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.