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Finding the Fourth Proportional to 23,622.68, 32,596.50 and 13,413.02

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Solution

The fourth proportional to 23,622.68, 32,596.50 and 13,413.02 is: 18,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,622.68 : 32,596.50 = 13,413.02 : x
  2. Step 2: Convert to fraction form
    23,622.68/32,596.50 = 13,413.02/x
  3. Step 3: Cross multiply
    23,622.68x = 32,596.50 × 13,413.02
  4. Step 4: Simplify right side
    23,622.68x = 437,217,506.43
  5. Step 5: Solve for x
    x = 437,217,506.43/23,622.68
  6. Step 6: Final answer
    x = 18,508.38

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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.