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Finding the Fourth Proportional to 23,652.92, 32,642.70 and 13,583

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Solution

The fourth proportional to 23,652.92, 32,642.70 and 13,583 is: 18,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.92 : 32,642.70 = 13,583 : x
  2. Step 2: Convert to fraction form
    23,652.92/32,642.70 = 13,583/x
  3. Step 3: Cross multiply
    23,652.92x = 32,642.70 × 13,583
  4. Step 4: Simplify right side
    23,652.92x = 443,385,794.10
  5. Step 5: Solve for x
    x = 443,385,794.10/23,652.92
  6. Step 6: Final answer
    x = 18,745.50

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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.