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Finding the Fourth Proportional to 17,804.82, 26,743.10 and 10,703.15

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Solution

The fourth proportional to 17,804.82, 26,743.10 and 10,703.15 is: 16,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.82 : 26,743.10 = 10,703.15 : x
  2. Step 2: Convert to fraction form
    17,804.82/26,743.10 = 10,703.15/x
  3. Step 3: Cross multiply
    17,804.82x = 26,743.10 × 10,703.15
  4. Step 4: Simplify right side
    17,804.82x = 286,235,223.53
  5. Step 5: Solve for x
    x = 286,235,223.53/17,804.82
  6. Step 6: Final answer
    x = 16,076.28

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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.