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Finding the Fourth Proportional to 16,053.80, 22,157.70 and 9,768.20

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Solution

The fourth proportional to 16,053.80, 22,157.70 and 9,768.20 is: 13,482.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,053.80 : 22,157.70 = 9,768.20 : x
  2. Step 2: Convert to fraction form
    16,053.80/22,157.70 = 9,768.20/x
  3. Step 3: Cross multiply
    16,053.80x = 22,157.70 × 9,768.20
  4. Step 4: Simplify right side
    16,053.80x = 216,440,845.14
  5. Step 5: Solve for x
    x = 216,440,845.14/16,053.80
  6. Step 6: Final answer
    x = 13,482.22

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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.