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Finding the Fourth Proportional to 23,573.80, 32,531 and 12,963.34

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Solution

The fourth proportional to 23,573.80, 32,531 and 12,963.34 is: 17,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.80 : 32,531 = 12,963.34 : x
  2. Step 2: Convert to fraction form
    23,573.80/32,531 = 12,963.34/x
  3. Step 3: Cross multiply
    23,573.80x = 32,531 × 12,963.34
  4. Step 4: Simplify right side
    23,573.80x = 421,710,413.54
  5. Step 5: Solve for x
    x = 421,710,413.54/23,573.80
  6. Step 6: Final answer
    x = 17,888.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.