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Finding the Fourth Proportional to 23,192, 32,004.96 and 13,257.92

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Solution

The fourth proportional to 23,192, 32,004.96 and 13,257.92 is: 18,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,192 : 32,004.96 = 13,257.92 : x
  2. Step 2: Convert to fraction form
    23,192/32,004.96 = 13,257.92/x
  3. Step 3: Cross multiply
    23,192x = 32,004.96 × 13,257.92
  4. Step 4: Simplify right side
    23,192x = 424,319,199.28
  5. Step 5: Solve for x
    x = 424,319,199.28/23,192
  6. Step 6: Final answer
    x = 18,295.93

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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.