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Finding the Fourth Proportional to 15,941.60, 23,901.60 and 8,446.40

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Solution

The fourth proportional to 15,941.60, 23,901.60 and 8,446.40 is: 12,663.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,941.60 : 23,901.60 = 8,446.40 : x
  2. Step 2: Convert to fraction form
    15,941.60/23,901.60 = 8,446.40/x
  3. Step 3: Cross multiply
    15,941.60x = 23,901.60 × 8,446.40
  4. Step 4: Simplify right side
    15,941.60x = 201,882,474.24
  5. Step 5: Solve for x
    x = 201,882,474.24/15,941.60
  6. Step 6: Final answer
    x = 12,663.88

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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.