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Finding the Fourth Proportional to 16,267.30, 22,449.05 and 9,553

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Solution

The fourth proportional to 16,267.30, 22,449.05 and 9,553 is: 13,183.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,267.30 : 22,449.05 = 9,553 : x
  2. Step 2: Convert to fraction form
    16,267.30/22,449.05 = 9,553/x
  3. Step 3: Cross multiply
    16,267.30x = 22,449.05 × 9,553
  4. Step 4: Simplify right side
    16,267.30x = 214,455,774.65
  5. Step 5: Solve for x
    x = 214,455,774.65/16,267.30
  6. Step 6: Final answer
    x = 13,183.24

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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.