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Finding the Fourth Proportional to 23,203, 32,020.16 and 12,592.63

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Solution

The fourth proportional to 23,203, 32,020.16 and 12,592.63 is: 17,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,203 : 32,020.16 = 12,592.63 : x
  2. Step 2: Convert to fraction form
    23,203/32,020.16 = 12,592.63/x
  3. Step 3: Cross multiply
    23,203x = 32,020.16 × 12,592.63
  4. Step 4: Simplify right side
    23,203x = 403,218,027.42
  5. Step 5: Solve for x
    x = 403,218,027.42/23,203
  6. Step 6: Final answer
    x = 17,377.84

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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.