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Finding the Fourth Proportional to 17,338.64, 23,927.22 and 9,785.06

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Solution

The fourth proportional to 17,338.64, 23,927.22 and 9,785.06 is: 13,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,338.64 : 23,927.22 = 9,785.06 : x
  2. Step 2: Convert to fraction form
    17,338.64/23,927.22 = 9,785.06/x
  3. Step 3: Cross multiply
    17,338.64x = 23,927.22 × 9,785.06
  4. Step 4: Simplify right side
    17,338.64x = 234,129,283.33
  5. Step 5: Solve for x
    x = 234,129,283.33/17,338.64
  6. Step 6: Final answer
    x = 13,503.32

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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.