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Finding the Fourth Proportional to 17,226.32, 23,772.32 and 9,774.32

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Solution

The fourth proportional to 17,226.32, 23,772.32 and 9,774.32 is: 13,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,226.32 : 23,772.32 = 9,774.32 : x
  2. Step 2: Convert to fraction form
    17,226.32/23,772.32 = 9,774.32/x
  3. Step 3: Cross multiply
    17,226.32x = 23,772.32 × 9,774.32
  4. Step 4: Simplify right side
    17,226.32x = 232,358,262.82
  5. Step 5: Solve for x
    x = 232,358,262.82/17,226.32
  6. Step 6: Final answer
    x = 13,488.56

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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.