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Finding the Fourth Proportional to 23,589.72, 32,557 and 21,596.72

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Solution

The fourth proportional to 23,589.72, 32,557 and 21,596.72 is: 29,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.72 : 32,557 = 21,596.72 : x
  2. Step 2: Convert to fraction form
    23,589.72/32,557 = 21,596.72/x
  3. Step 3: Cross multiply
    23,589.72x = 32,557 × 21,596.72
  4. Step 4: Simplify right side
    23,589.72x = 703,124,413.04
  5. Step 5: Solve for x
    x = 703,124,413.04/23,589.72
  6. Step 6: Final answer
    x = 29,806.39

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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.