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Finding the Fourth Proportional to 16,945.99, 25,409.14 and 6,416.82

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Solution

The fourth proportional to 16,945.99, 25,409.14 and 6,416.82 is: 9,621.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,945.99 : 25,409.14 = 6,416.82 : x
  2. Step 2: Convert to fraction form
    16,945.99/25,409.14 = 6,416.82/x
  3. Step 3: Cross multiply
    16,945.99x = 25,409.14 × 6,416.82
  4. Step 4: Simplify right side
    16,945.99x = 163,045,877.73
  5. Step 5: Solve for x
    x = 163,045,877.73/16,945.99
  6. Step 6: Final answer
    x = 9,621.50

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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.