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Finding the Fourth Proportional to 29,138.25, 40,210.83 and 16,563

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Solution

The fourth proportional to 29,138.25, 40,210.83 and 16,563 is: 22,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,138.25 : 40,210.83 = 16,563 : x
  2. Step 2: Convert to fraction form
    29,138.25/40,210.83 = 16,563/x
  3. Step 3: Cross multiply
    29,138.25x = 40,210.83 × 16,563
  4. Step 4: Simplify right side
    29,138.25x = 666,011,977.29
  5. Step 5: Solve for x
    x = 666,011,977.29/29,138.25
  6. Step 6: Final answer
    x = 22,856.97

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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.