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Finding the Fourth Proportional to 23,746.80, 35,623.40 and 8,169.20

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Solution

The fourth proportional to 23,746.80, 35,623.40 and 8,169.20 is: 12,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,746.80 : 35,623.40 = 8,169.20 : x
  2. Step 2: Convert to fraction form
    23,746.80/35,623.40 = 8,169.20/x
  3. Step 3: Cross multiply
    23,746.80x = 35,623.40 × 8,169.20
  4. Step 4: Simplify right side
    23,746.80x = 291,014,679.28
  5. Step 5: Solve for x
    x = 291,014,679.28/23,746.80
  6. Step 6: Final answer
    x = 12,254.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.