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Finding the Fourth Proportional to 17,967.30, 24,795.14 and 10,414.16

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Solution

The fourth proportional to 17,967.30, 24,795.14 and 10,414.16 is: 14,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,967.30 : 24,795.14 = 10,414.16 : x
  2. Step 2: Convert to fraction form
    17,967.30/24,795.14 = 10,414.16/x
  3. Step 3: Cross multiply
    17,967.30x = 24,795.14 × 10,414.16
  4. Step 4: Simplify right side
    17,967.30x = 258,220,555.18
  5. Step 5: Solve for x
    x = 258,220,555.18/17,967.30
  6. Step 6: Final answer
    x = 14,371.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.