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Finding the Fourth Proportional to 16,347.97, 22,559.53 and 9,274.24

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Solution

The fourth proportional to 16,347.97, 22,559.53 and 9,274.24 is: 12,798.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.97 : 22,559.53 = 9,274.24 : x
  2. Step 2: Convert to fraction form
    16,347.97/22,559.53 = 9,274.24/x
  3. Step 3: Cross multiply
    16,347.97x = 22,559.53 × 9,274.24
  4. Step 4: Simplify right side
    16,347.97x = 209,222,336.34
  5. Step 5: Solve for x
    x = 209,222,336.34/16,347.97
  6. Step 6: Final answer
    x = 12,798.07

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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.