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Finding the Fourth Proportional to 22,846.32, 31,526.28 and 13,413.60

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Solution

The fourth proportional to 22,846.32, 31,526.28 and 13,413.60 is: 18,509.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.32 : 31,526.28 = 13,413.60 : x
  2. Step 2: Convert to fraction form
    22,846.32/31,526.28 = 13,413.60/x
  3. Step 3: Cross multiply
    22,846.32x = 31,526.28 × 13,413.60
  4. Step 4: Simplify right side
    22,846.32x = 422,880,909.41
  5. Step 5: Solve for x
    x = 422,880,909.41/22,846.32
  6. Step 6: Final answer
    x = 18,509.80

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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.