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Finding the Fourth Proportional to 23,804.54, 32,853.77 and 13,731.01

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Solution

The fourth proportional to 23,804.54, 32,853.77 and 13,731.01 is: 18,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,804.54 : 32,853.77 = 13,731.01 : x
  2. Step 2: Convert to fraction form
    23,804.54/32,853.77 = 13,731.01/x
  3. Step 3: Cross multiply
    23,804.54x = 32,853.77 × 13,731.01
  4. Step 4: Simplify right side
    23,804.54x = 451,115,444.41
  5. Step 5: Solve for x
    x = 451,115,444.41/23,804.54
  6. Step 6: Final answer
    x = 18,950.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.