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Finding the Fourth Proportional to 17,576.75, 24,255.90 and 10,023.09

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Solution

The fourth proportional to 17,576.75, 24,255.90 and 10,023.09 is: 13,831.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.75 : 24,255.90 = 10,023.09 : x
  2. Step 2: Convert to fraction form
    17,576.75/24,255.90 = 10,023.09/x
  3. Step 3: Cross multiply
    17,576.75x = 24,255.90 × 10,023.09
  4. Step 4: Simplify right side
    17,576.75x = 243,119,068.73
  5. Step 5: Solve for x
    x = 243,119,068.73/17,576.75
  6. Step 6: Final answer
    x = 13,831.86

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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.