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Finding the Fourth Proportional to 24,653.25, 34,022.03 and 13,475.25

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Solution

The fourth proportional to 24,653.25, 34,022.03 and 13,475.25 is: 18,596.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,653.25 : 34,022.03 = 13,475.25 : x
  2. Step 2: Convert to fraction form
    24,653.25/34,022.03 = 13,475.25/x
  3. Step 3: Cross multiply
    24,653.25x = 34,022.03 × 13,475.25
  4. Step 4: Simplify right side
    24,653.25x = 458,455,292.38
  5. Step 5: Solve for x
    x = 458,455,292.38/24,653.25
  6. Step 6: Final answer
    x = 18,596.14

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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.