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Finding the Fourth Proportional to 15,906.32, 23,849.76 and 7,588.88

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Solution

The fourth proportional to 15,906.32, 23,849.76 and 7,588.88 is: 11,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.32 : 23,849.76 = 7,588.88 : x
  2. Step 2: Convert to fraction form
    15,906.32/23,849.76 = 7,588.88/x
  3. Step 3: Cross multiply
    15,906.32x = 23,849.76 × 7,588.88
  4. Step 4: Simplify right side
    15,906.32x = 180,992,966.67
  5. Step 5: Solve for x
    x = 180,992,966.67/15,906.32
  6. Step 6: Final answer
    x = 11,378.68

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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.