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Finding the Fourth Proportional to 23,043.54, 31,804.65 and 13,484.46

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Solution

The fourth proportional to 23,043.54, 31,804.65 and 13,484.46 is: 18,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,043.54 : 31,804.65 = 13,484.46 : x
  2. Step 2: Convert to fraction form
    23,043.54/31,804.65 = 13,484.46/x
  3. Step 3: Cross multiply
    23,043.54x = 31,804.65 × 13,484.46
  4. Step 4: Simplify right side
    23,043.54x = 428,868,530.74
  5. Step 5: Solve for x
    x = 428,868,530.74/23,043.54
  6. Step 6: Final answer
    x = 18,611.23

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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.