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Finding the Fourth Proportional to 22,927.20, 34,406.06 and 9,429.45

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Solution

The fourth proportional to 22,927.20, 34,406.06 and 9,429.45 is: 14,150.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,927.20 : 34,406.06 = 9,429.45 : x
  2. Step 2: Convert to fraction form
    22,927.20/34,406.06 = 9,429.45/x
  3. Step 3: Cross multiply
    22,927.20x = 34,406.06 × 9,429.45
  4. Step 4: Simplify right side
    22,927.20x = 324,430,175.32
  5. Step 5: Solve for x
    x = 324,430,175.32/22,927.20
  6. Step 6: Final answer
    x = 14,150.45

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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.