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Finding the Fourth Proportional to 17,030.74, 23,500.38 and 9,475.15

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Solution

The fourth proportional to 17,030.74, 23,500.38 and 9,475.15 is: 13,074.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.74 : 23,500.38 = 9,475.15 : x
  2. Step 2: Convert to fraction form
    17,030.74/23,500.38 = 9,475.15/x
  3. Step 3: Cross multiply
    17,030.74x = 23,500.38 × 9,475.15
  4. Step 4: Simplify right side
    17,030.74x = 222,669,625.56
  5. Step 5: Solve for x
    x = 222,669,625.56/17,030.74
  6. Step 6: Final answer
    x = 13,074.57

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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.