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Finding the Fourth Proportional to 23,413.80, 32,310 and 12,803.52

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Solution

The fourth proportional to 23,413.80, 32,310 and 12,803.52 is: 17,668.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.80 : 32,310 = 12,803.52 : x
  2. Step 2: Convert to fraction form
    23,413.80/32,310 = 12,803.52/x
  3. Step 3: Cross multiply
    23,413.80x = 32,310 × 12,803.52
  4. Step 4: Simplify right side
    23,413.80x = 413,681,731.20
  5. Step 5: Solve for x
    x = 413,681,731.20/23,413.80
  6. Step 6: Final answer
    x = 17,668.29

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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.