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Finding the Fourth Proportional to 23,504.80, 35,242.96 and 9,256.20

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Solution

The fourth proportional to 23,504.80, 35,242.96 and 9,256.20 is: 13,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.80 : 35,242.96 = 9,256.20 : x
  2. Step 2: Convert to fraction form
    23,504.80/35,242.96 = 9,256.20/x
  3. Step 3: Cross multiply
    23,504.80x = 35,242.96 × 9,256.20
  4. Step 4: Simplify right side
    23,504.80x = 326,215,886.35
  5. Step 5: Solve for x
    x = 326,215,886.35/23,504.80
  6. Step 6: Final answer
    x = 13,878.69

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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.