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Finding the Fourth Proportional to 23,290, 32,142.12 and 13,355.92

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Solution

The fourth proportional to 23,290, 32,142.12 and 13,355.92 is: 18,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,290 : 32,142.12 = 13,355.92 : x
  2. Step 2: Convert to fraction form
    23,290/32,142.12 = 13,355.92/x
  3. Step 3: Cross multiply
    23,290x = 32,142.12 × 13,355.92
  4. Step 4: Simplify right side
    23,290x = 429,287,583.35
  5. Step 5: Solve for x
    x = 429,287,583.35/23,290
  6. Step 6: Final answer
    x = 18,432.27

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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.