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Finding the Fourth Proportional to 25,338, 38,019.96 and 11,302.32

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Solution

The fourth proportional to 25,338, 38,019.96 and 11,302.32 is: 16,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,338 : 38,019.96 = 11,302.32 : x
  2. Step 2: Convert to fraction form
    25,338/38,019.96 = 11,302.32/x
  3. Step 3: Cross multiply
    25,338x = 38,019.96 × 11,302.32
  4. Step 4: Simplify right side
    25,338x = 429,713,754.31
  5. Step 5: Solve for x
    x = 429,713,754.31/25,338
  6. Step 6: Final answer
    x = 16,959.26

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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.