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Finding the Fourth Proportional to 16,196, 24,280.96 and 6,968.48

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Solution

The fourth proportional to 16,196, 24,280.96 and 6,968.48 is: 10,447.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196 : 24,280.96 = 6,968.48 : x
  2. Step 2: Convert to fraction form
    16,196/24,280.96 = 6,968.48/x
  3. Step 3: Cross multiply
    16,196x = 24,280.96 × 6,968.48
  4. Step 4: Simplify right side
    16,196x = 169,201,384.14
  5. Step 5: Solve for x
    x = 169,201,384.14/16,196
  6. Step 6: Final answer
    x = 10,447.11

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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.