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Finding the Fourth Proportional to 23,466.83, 32,384.05 and 12,711.46

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Solution

The fourth proportional to 23,466.83, 32,384.05 and 12,711.46 is: 17,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,466.83 : 32,384.05 = 12,711.46 : x
  2. Step 2: Convert to fraction form
    23,466.83/32,384.05 = 12,711.46/x
  3. Step 3: Cross multiply
    23,466.83x = 32,384.05 × 12,711.46
  4. Step 4: Simplify right side
    23,466.83x = 411,648,556.21
  5. Step 5: Solve for x
    x = 411,648,556.21/23,466.83
  6. Step 6: Final answer
    x = 17,541.72

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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.