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Finding the Fourth Proportional to 17,769, 26,653.65 and 6,082.32

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Solution

The fourth proportional to 17,769, 26,653.65 and 6,082.32 is: 9,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769 : 26,653.65 = 6,082.32 : x
  2. Step 2: Convert to fraction form
    17,769/26,653.65 = 6,082.32/x
  3. Step 3: Cross multiply
    17,769x = 26,653.65 × 6,082.32
  4. Step 4: Simplify right side
    17,769x = 162,116,028.47
  5. Step 5: Solve for x
    x = 162,116,028.47/17,769
  6. Step 6: Final answer
    x = 9,123.53

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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.