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Finding the Fourth Proportional to 16,913, 25,381.04 and 5,969

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Solution

The fourth proportional to 16,913, 25,381.04 and 5,969 is: 8,957.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,913 : 25,381.04 = 5,969 : x
  2. Step 2: Convert to fraction form
    16,913/25,381.04 = 5,969/x
  3. Step 3: Cross multiply
    16,913x = 25,381.04 × 5,969
  4. Step 4: Simplify right side
    16,913x = 151,499,427.76
  5. Step 5: Solve for x
    x = 151,499,427.76/16,913
  6. Step 6: Final answer
    x = 8,957.57

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Why These Related Problems?

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