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Finding the Fourth Proportional to 15,955.76, 23,938.52 and 8,170.08

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Solution

The fourth proportional to 15,955.76, 23,938.52 and 8,170.08 is: 12,257.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,955.76 : 23,938.52 = 8,170.08 : x
  2. Step 2: Convert to fraction form
    15,955.76/23,938.52 = 8,170.08/x
  3. Step 3: Cross multiply
    15,955.76x = 23,938.52 × 8,170.08
  4. Step 4: Simplify right side
    15,955.76x = 195,579,623.48
  5. Step 5: Solve for x
    x = 195,579,623.48/15,955.76
  6. Step 6: Final answer
    x = 12,257.62

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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.