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Finding the Fourth Proportional to 16,274.94, 22,459.21 and 9,561.18

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Solution

The fourth proportional to 16,274.94, 22,459.21 and 9,561.18 is: 13,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.94 : 22,459.21 = 9,561.18 : x
  2. Step 2: Convert to fraction form
    16,274.94/22,459.21 = 9,561.18/x
  3. Step 3: Cross multiply
    16,274.94x = 22,459.21 × 9,561.18
  4. Step 4: Simplify right side
    16,274.94x = 214,736,549.47
  5. Step 5: Solve for x
    x = 214,736,549.47/16,274.94
  6. Step 6: Final answer
    x = 13,194.31

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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.