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Finding the Fourth Proportional to 23,152.88, 34,731.12 and 7,572.08

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Solution

The fourth proportional to 23,152.88, 34,731.12 and 7,572.08 is: 11,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.88 : 34,731.12 = 7,572.08 : x
  2. Step 2: Convert to fraction form
    23,152.88/34,731.12 = 7,572.08/x
  3. Step 3: Cross multiply
    23,152.88x = 34,731.12 × 7,572.08
  4. Step 4: Simplify right side
    23,152.88x = 262,986,819.13
  5. Step 5: Solve for x
    x = 262,986,819.13/23,152.88
  6. Step 6: Final answer
    x = 11,358.71

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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.