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Finding the Fourth Proportional to 16,700.72, 25,043 and 6,313.36

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Solution

The fourth proportional to 16,700.72, 25,043 and 6,313.36 is: 9,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,700.72 : 25,043 = 6,313.36 : x
  2. Step 2: Convert to fraction form
    16,700.72/25,043 = 6,313.36/x
  3. Step 3: Cross multiply
    16,700.72x = 25,043 × 6,313.36
  4. Step 4: Simplify right side
    16,700.72x = 158,105,474.48
  5. Step 5: Solve for x
    x = 158,105,474.48/16,700.72
  6. Step 6: Final answer
    x = 9,466.99

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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.