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Finding the Fourth Proportional to 15,896.40, 21,934.80 and 8,822.40

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Solution

The fourth proportional to 15,896.40, 21,934.80 and 8,822.40 is: 12,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896.40 : 21,934.80 = 8,822.40 : x
  2. Step 2: Convert to fraction form
    15,896.40/21,934.80 = 8,822.40/x
  3. Step 3: Cross multiply
    15,896.40x = 21,934.80 × 8,822.40
  4. Step 4: Simplify right side
    15,896.40x = 193,517,579.52
  5. Step 5: Solve for x
    x = 193,517,579.52/15,896.40
  6. Step 6: Final answer
    x = 12,173.67

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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.