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Finding the Fourth Proportional to 29,689.16, 40,977.78 and 18,509

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Solution

The fourth proportional to 29,689.16, 40,977.78 and 18,509 is: 25,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,689.16 : 40,977.78 = 18,509 : x
  2. Step 2: Convert to fraction form
    29,689.16/40,977.78 = 18,509/x
  3. Step 3: Cross multiply
    29,689.16x = 40,977.78 × 18,509
  4. Step 4: Simplify right side
    29,689.16x = 758,457,730.02
  5. Step 5: Solve for x
    x = 758,457,730.02/29,689.16
  6. Step 6: Final answer
    x = 25,546.62

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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.