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Finding the Fourth Proportional to 16,977.42, 25,477.02 and 6,589.17

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Solution

The fourth proportional to 16,977.42, 25,477.02 and 6,589.17 is: 9,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977.42 : 25,477.02 = 6,589.17 : x
  2. Step 2: Convert to fraction form
    16,977.42/25,477.02 = 6,589.17/x
  3. Step 3: Cross multiply
    16,977.42x = 25,477.02 × 6,589.17
  4. Step 4: Simplify right side
    16,977.42x = 167,872,415.87
  5. Step 5: Solve for x
    x = 167,872,415.87/16,977.42
  6. Step 6: Final answer
    x = 9,887.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.