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Finding the Fourth Proportional to 15,901.49, 23,844.02 and 8,409.09

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Solution

The fourth proportional to 15,901.49, 23,844.02 and 8,409.09 is: 12,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,901.49 : 23,844.02 = 8,409.09 : x
  2. Step 2: Convert to fraction form
    15,901.49/23,844.02 = 8,409.09/x
  3. Step 3: Cross multiply
    15,901.49x = 23,844.02 × 8,409.09
  4. Step 4: Simplify right side
    15,901.49x = 200,506,468.10
  5. Step 5: Solve for x
    x = 200,506,468.10/15,901.49
  6. Step 6: Final answer
    x = 12,609.29

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1.5x scale

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.