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Finding the Fourth Proportional to 24,095.56, 36,144.24 and 7,454.08

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Solution

The fourth proportional to 24,095.56, 36,144.24 and 7,454.08 is: 11,181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,095.56 : 36,144.24 = 7,454.08 : x
  2. Step 2: Convert to fraction form
    24,095.56/36,144.24 = 7,454.08/x
  3. Step 3: Cross multiply
    24,095.56x = 36,144.24 × 7,454.08
  4. Step 4: Simplify right side
    24,095.56x = 269,422,056.50
  5. Step 5: Solve for x
    x = 269,422,056.50/24,095.56
  6. Step 6: Final answer
    x = 11,181.40

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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.