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Finding the Fourth Proportional to 16,640.58, 22,975.56 and 13,468

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Solution

The fourth proportional to 16,640.58, 22,975.56 and 13,468 is: 18,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.58 : 22,975.56 = 13,468 : x
  2. Step 2: Convert to fraction form
    16,640.58/22,975.56 = 13,468/x
  3. Step 3: Cross multiply
    16,640.58x = 22,975.56 × 13,468
  4. Step 4: Simplify right side
    16,640.58x = 309,434,842.08
  5. Step 5: Solve for x
    x = 309,434,842.08/16,640.58
  6. Step 6: Final answer
    x = 18,595.20

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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.