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Finding the Fourth Proportional to 16,929, 25,405.02 and 10,180.08

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Solution

The fourth proportional to 16,929, 25,405.02 and 10,180.08 is: 15,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929 : 25,405.02 = 10,180.08 : x
  2. Step 2: Convert to fraction form
    16,929/25,405.02 = 10,180.08/x
  3. Step 3: Cross multiply
    16,929x = 25,405.02 × 10,180.08
  4. Step 4: Simplify right side
    16,929x = 258,625,136.00
  5. Step 5: Solve for x
    x = 258,625,136.00/16,929
  6. Step 6: Final answer
    x = 15,277.05

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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.