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Finding the Fourth Proportional to 29,085.08, 40,138.64 and 16,511

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Solution

The fourth proportional to 29,085.08, 40,138.64 and 16,511 is: 22,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,085.08 : 40,138.64 = 16,511 : x
  2. Step 2: Convert to fraction form
    29,085.08/40,138.64 = 16,511/x
  3. Step 3: Cross multiply
    29,085.08x = 40,138.64 × 16,511
  4. Step 4: Simplify right side
    29,085.08x = 662,729,085.04
  5. Step 5: Solve for x
    x = 662,729,085.04/29,085.08
  6. Step 6: Final answer
    x = 22,785.88

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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.