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Finding the Fourth Proportional to 23,355, 32,232.87 and 15,413.76

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Solution

The fourth proportional to 23,355, 32,232.87 and 15,413.76 is: 21,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355 : 32,232.87 = 15,413.76 : x
  2. Step 2: Convert to fraction form
    23,355/32,232.87 = 15,413.76/x
  3. Step 3: Cross multiply
    23,355x = 32,232.87 × 15,413.76
  4. Step 4: Simplify right side
    23,355x = 496,829,722.29
  5. Step 5: Solve for x
    x = 496,829,722.29/23,355
  6. Step 6: Final answer
    x = 21,272.95

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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.