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Finding the Fourth Proportional to 16,563.39, 22,857.53 and 9,009.78

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Solution

The fourth proportional to 16,563.39, 22,857.53 and 9,009.78 is: 12,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.39 : 22,857.53 = 9,009.78 : x
  2. Step 2: Convert to fraction form
    16,563.39/22,857.53 = 9,009.78/x
  3. Step 3: Cross multiply
    16,563.39x = 22,857.53 × 9,009.78
  4. Step 4: Simplify right side
    16,563.39x = 205,941,271.59
  5. Step 5: Solve for x
    x = 205,941,271.59/16,563.39
  6. Step 6: Final answer
    x = 12,433.52

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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.