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Finding the Fourth Proportional to 16,287.34, 22,456.83 and 13,765

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Solution

The fourth proportional to 16,287.34, 22,456.83 and 13,765 is: 18,979.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.34 : 22,456.83 = 13,765 : x
  2. Step 2: Convert to fraction form
    16,287.34/22,456.83 = 13,765/x
  3. Step 3: Cross multiply
    16,287.34x = 22,456.83 × 13,765
  4. Step 4: Simplify right side
    16,287.34x = 309,118,264.95
  5. Step 5: Solve for x
    x = 309,118,264.95/16,287.34
  6. Step 6: Final answer
    x = 18,979.05

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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.