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Finding the Fourth Proportional to 23,421.44, 32,321.76 and 12,811.28

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Solution

The fourth proportional to 23,421.44, 32,321.76 and 12,811.28 is: 17,679.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,421.44 : 32,321.76 = 12,811.28 : x
  2. Step 2: Convert to fraction form
    23,421.44/32,321.76 = 12,811.28/x
  3. Step 3: Cross multiply
    23,421.44x = 32,321.76 × 12,811.28
  4. Step 4: Simplify right side
    23,421.44x = 414,083,117.45
  5. Step 5: Solve for x
    x = 414,083,117.45/23,421.44
  6. Step 6: Final answer
    x = 17,679.66

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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.