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Finding the Fourth Proportional to 16,409, 24,613.50 and 4,097

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Solution

The fourth proportional to 16,409, 24,613.50 and 4,097 is: 6,145.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409 : 24,613.50 = 4,097 : x
  2. Step 2: Convert to fraction form
    16,409/24,613.50 = 4,097/x
  3. Step 3: Cross multiply
    16,409x = 24,613.50 × 4,097
  4. Step 4: Simplify right side
    16,409x = 100,841,509.50
  5. Step 5: Solve for x
    x = 100,841,509.50/16,409
  6. Step 6: Final answer
    x = 6,145.50

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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.