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Finding the Fourth Proportional to 23,422.58, 32,322.76 and 12,811.98

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Solution

The fourth proportional to 23,422.58, 32,322.76 and 12,811.98 is: 17,680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422.58 : 32,322.76 = 12,811.98 : x
  2. Step 2: Convert to fraction form
    23,422.58/32,322.76 = 12,811.98/x
  3. Step 3: Cross multiply
    23,422.58x = 32,322.76 × 12,811.98
  4. Step 4: Simplify right side
    23,422.58x = 414,118,554.66
  5. Step 5: Solve for x
    x = 414,118,554.66/23,422.58
  6. Step 6: Final answer
    x = 17,680.31

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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.