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Finding the Fourth Proportional to 23,203.50, 32,020.65 and 12,593.16

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Solution

The fourth proportional to 23,203.50, 32,020.65 and 12,593.16 is: 17,378.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203.50 : 32,020.65 = 12,593.16 : x
  2. Step 2: Convert to fraction form
    23,203.50/32,020.65 = 12,593.16/x
  3. Step 3: Cross multiply
    23,203.50x = 32,020.65 × 12,593.16
  4. Step 4: Simplify right side
    23,203.50x = 403,241,168.75
  5. Step 5: Solve for x
    x = 403,241,168.75/23,203.50
  6. Step 6: Final answer
    x = 17,378.46

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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.