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Finding the Fourth Proportional to 23,322.50, 32,184.12 and 12,711.92

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Solution

The fourth proportional to 23,322.50, 32,184.12 and 12,711.92 is: 17,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.50 : 32,184.12 = 12,711.92 : x
  2. Step 2: Convert to fraction form
    23,322.50/32,184.12 = 12,711.92/x
  3. Step 3: Cross multiply
    23,322.50x = 32,184.12 × 12,711.92
  4. Step 4: Simplify right side
    23,322.50x = 409,121,958.71
  5. Step 5: Solve for x
    x = 409,121,958.71/23,322.50
  6. Step 6: Final answer
    x = 17,541.94

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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.