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Finding the Fourth Proportional to 17,804.84, 24,569.89 and 9,738.28

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Solution

The fourth proportional to 17,804.84, 24,569.89 and 9,738.28 is: 13,438.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.84 : 24,569.89 = 9,738.28 : x
  2. Step 2: Convert to fraction form
    17,804.84/24,569.89 = 9,738.28/x
  3. Step 3: Cross multiply
    17,804.84x = 24,569.89 × 9,738.28
  4. Step 4: Simplify right side
    17,804.84x = 239,268,468.39
  5. Step 5: Solve for x
    x = 239,268,468.39/17,804.84
  6. Step 6: Final answer
    x = 13,438.39

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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.