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Finding the Fourth Proportional to 22,883.76, 34,329.56 and 9,736.24

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Solution

The fourth proportional to 22,883.76, 34,329.56 and 9,736.24 is: 14,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,883.76 : 34,329.56 = 9,736.24 : x
  2. Step 2: Convert to fraction form
    22,883.76/34,329.56 = 9,736.24/x
  3. Step 3: Cross multiply
    22,883.76x = 34,329.56 × 9,736.24
  4. Step 4: Simplify right side
    22,883.76x = 334,240,835.25
  5. Step 5: Solve for x
    x = 334,240,835.25/22,883.76
  6. Step 6: Final answer
    x = 14,606.03

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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.