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Finding the Fourth Proportional to 24,547.56, 36,821.34 and 8,961.60

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Solution

The fourth proportional to 24,547.56, 36,821.34 and 8,961.60 is: 13,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,547.56 : 36,821.34 = 8,961.60 : x
  2. Step 2: Convert to fraction form
    24,547.56/36,821.34 = 8,961.60/x
  3. Step 3: Cross multiply
    24,547.56x = 36,821.34 × 8,961.60
  4. Step 4: Simplify right side
    24,547.56x = 329,978,120.54
  5. Step 5: Solve for x
    x = 329,978,120.54/24,547.56
  6. Step 6: Final answer
    x = 13,442.40

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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.