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Finding the Fourth Proportional to 17,119.10, 23,624.16 and 12,078.08

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Solution

The fourth proportional to 17,119.10, 23,624.16 and 12,078.08 is: 16,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,119.10 : 23,624.16 = 12,078.08 : x
  2. Step 2: Convert to fraction form
    17,119.10/23,624.16 = 12,078.08/x
  3. Step 3: Cross multiply
    17,119.10x = 23,624.16 × 12,078.08
  4. Step 4: Simplify right side
    17,119.10x = 285,334,494.41
  5. Step 5: Solve for x
    x = 285,334,494.41/17,119.10
  6. Step 6: Final answer
    x = 16,667.61

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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.