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Finding the Fourth Proportional to 23,322.16, 32,184.21 and 12,711.88

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Solution

The fourth proportional to 23,322.16, 32,184.21 and 12,711.88 is: 17,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.16 : 32,184.21 = 12,711.88 : x
  2. Step 2: Convert to fraction form
    23,322.16/32,184.21 = 12,711.88/x
  3. Step 3: Cross multiply
    23,322.16x = 32,184.21 × 12,711.88
  4. Step 4: Simplify right side
    23,322.16x = 409,121,815.41
  5. Step 5: Solve for x
    x = 409,121,815.41/23,322.16
  6. Step 6: Final answer
    x = 17,542.19

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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.