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Finding the Fourth Proportional to 16,523.47, 22,802.40 and 8,969.80

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Solution

The fourth proportional to 16,523.47, 22,802.40 and 8,969.80 is: 12,378.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.47 : 22,802.40 = 8,969.80 : x
  2. Step 2: Convert to fraction form
    16,523.47/22,802.40 = 8,969.80/x
  3. Step 3: Cross multiply
    16,523.47x = 22,802.40 × 8,969.80
  4. Step 4: Simplify right side
    16,523.47x = 204,533,029.66
  5. Step 5: Solve for x
    x = 204,533,029.66/16,523.47
  6. Step 6: Final answer
    x = 12,378.33

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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.