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Finding the Fourth Proportional to 23,413.69, 32,311.67 and 12,803.32

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Solution

The fourth proportional to 23,413.69, 32,311.67 and 12,803.32 is: 17,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,413.69 : 32,311.67 = 12,803.32 : x
  2. Step 2: Convert to fraction form
    23,413.69/32,311.67 = 12,803.32/x
  3. Step 3: Cross multiply
    23,413.69x = 32,311.67 × 12,803.32
  4. Step 4: Simplify right side
    23,413.69x = 413,696,754.00
  5. Step 5: Solve for x
    x = 413,696,754.00/23,413.69
  6. Step 6: Final answer
    x = 17,669.01

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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.