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Finding the Fourth Proportional to 23,797.74, 32,840.06 and 13,188.36

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Solution

The fourth proportional to 23,797.74, 32,840.06 and 13,188.36 is: 18,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,797.74 : 32,840.06 = 13,188.36 : x
  2. Step 2: Convert to fraction form
    23,797.74/32,840.06 = 13,188.36/x
  3. Step 3: Cross multiply
    23,797.74x = 32,840.06 × 13,188.36
  4. Step 4: Simplify right side
    23,797.74x = 433,106,467.76
  5. Step 5: Solve for x
    x = 433,106,467.76/23,797.74
  6. Step 6: Final answer
    x = 18,199.48

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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.