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Finding the Fourth Proportional to 23,599, 32,567.34 and 12,987.64

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Solution

The fourth proportional to 23,599, 32,567.34 and 12,987.64 is: 17,923.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599 : 32,567.34 = 12,987.64 : x
  2. Step 2: Convert to fraction form
    23,599/32,567.34 = 12,987.64/x
  3. Step 3: Cross multiply
    23,599x = 32,567.34 × 12,987.64
  4. Step 4: Simplify right side
    23,599x = 422,972,887.68
  5. Step 5: Solve for x
    x = 422,972,887.68/23,599
  6. Step 6: Final answer
    x = 17,923.34

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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.