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Finding the Fourth Proportional to 23,000.52, 34,413.30 and 14,213.64

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Solution

The fourth proportional to 23,000.52, 34,413.30 and 14,213.64 is: 21,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.52 : 34,413.30 = 14,213.64 : x
  2. Step 2: Convert to fraction form
    23,000.52/34,413.30 = 14,213.64/x
  3. Step 3: Cross multiply
    23,000.52x = 34,413.30 × 14,213.64
  4. Step 4: Simplify right side
    23,000.52x = 489,138,257.41
  5. Step 5: Solve for x
    x = 489,138,257.41/23,000.52
  6. Step 6: Final answer
    x = 21,266.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.