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Finding the Fourth Proportional to 23,529, 32,468.40 and 12,916.44

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Solution

The fourth proportional to 23,529, 32,468.40 and 12,916.44 is: 17,823.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,529 : 32,468.40 = 12,916.44 : x
  2. Step 2: Convert to fraction form
    23,529/32,468.40 = 12,916.44/x
  3. Step 3: Cross multiply
    23,529x = 32,468.40 × 12,916.44
  4. Step 4: Simplify right side
    23,529x = 419,376,140.50
  5. Step 5: Solve for x
    x = 419,376,140.50/23,529
  6. Step 6: Final answer
    x = 17,823.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.