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Finding the Fourth Proportional to 16,140.82, 22,274.05 and 9,853.20

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Solution

The fourth proportional to 16,140.82, 22,274.05 and 9,853.20 is: 13,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,140.82 : 22,274.05 = 9,853.20 : x
  2. Step 2: Convert to fraction form
    16,140.82/22,274.05 = 9,853.20/x
  3. Step 3: Cross multiply
    16,140.82x = 22,274.05 × 9,853.20
  4. Step 4: Simplify right side
    16,140.82x = 219,470,669.46
  5. Step 5: Solve for x
    x = 219,470,669.46/16,140.82
  6. Step 6: Final answer
    x = 13,597.24

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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.