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Finding the Fourth Proportional to 23,960, 33,065.12 and 13,889.16

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Solution

The fourth proportional to 23,960, 33,065.12 and 13,889.16 is: 19,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,960 : 33,065.12 = 13,889.16 : x
  2. Step 2: Convert to fraction form
    23,960/33,065.12 = 13,889.16/x
  3. Step 3: Cross multiply
    23,960x = 33,065.12 × 13,889.16
  4. Step 4: Simplify right side
    23,960x = 459,246,742.10
  5. Step 5: Solve for x
    x = 459,246,742.10/23,960
  6. Step 6: Final answer
    x = 19,167.23

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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.