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Finding the Fourth Proportional to 17,026.56, 25,509.12 and 14,250.24

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Solution

The fourth proportional to 17,026.56, 25,509.12 and 14,250.24 is: 21,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,026.56 : 25,509.12 = 14,250.24 : x
  2. Step 2: Convert to fraction form
    17,026.56/25,509.12 = 14,250.24/x
  3. Step 3: Cross multiply
    17,026.56x = 25,509.12 × 14,250.24
  4. Step 4: Simplify right side
    17,026.56x = 363,511,082.19
  5. Step 5: Solve for x
    x = 363,511,082.19/17,026.56
  6. Step 6: Final answer
    x = 21,349.65

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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.