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Finding the Fourth Proportional to 23,458.01, 32,371.65 and 12,847.61

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Solution

The fourth proportional to 23,458.01, 32,371.65 and 12,847.61 is: 17,729.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,458.01 : 32,371.65 = 12,847.61 : x
  2. Step 2: Convert to fraction form
    23,458.01/32,371.65 = 12,847.61/x
  3. Step 3: Cross multiply
    23,458.01x = 32,371.65 × 12,847.61
  4. Step 4: Simplify right side
    23,458.01x = 415,898,415.19
  5. Step 5: Solve for x
    x = 415,898,415.19/23,458.01
  6. Step 6: Final answer
    x = 17,729.49

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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.