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Finding the Fourth Proportional to 16,356.84, 22,571.76 and 9,283.11

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Solution

The fourth proportional to 16,356.84, 22,571.76 and 9,283.11 is: 12,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.84 : 22,571.76 = 9,283.11 : x
  2. Step 2: Convert to fraction form
    16,356.84/22,571.76 = 9,283.11/x
  3. Step 3: Cross multiply
    16,356.84x = 22,571.76 × 9,283.11
  4. Step 4: Simplify right side
    16,356.84x = 209,536,130.97
  5. Step 5: Solve for x
    x = 209,536,130.97/16,356.84
  6. Step 6: Final answer
    x = 12,810.31

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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.