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Finding the Fourth Proportional to 23,466.87, 32,384.01 and 12,711.60

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Solution

The fourth proportional to 23,466.87, 32,384.01 and 12,711.60 is: 17,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.87 : 32,384.01 = 12,711.60 : x
  2. Step 2: Convert to fraction form
    23,466.87/32,384.01 = 12,711.60/x
  3. Step 3: Cross multiply
    23,466.87x = 32,384.01 × 12,711.60
  4. Step 4: Simplify right side
    23,466.87x = 411,652,581.52
  5. Step 5: Solve for x
    x = 411,652,581.52/23,466.87
  6. Step 6: Final answer
    x = 17,541.86

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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.