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Finding the Fourth Proportional to 18,804.42, 28,202.00 and 7,714.26

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Solution

The fourth proportional to 18,804.42, 28,202.00 and 7,714.26 is: 11,569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,804.42 : 28,202.00 = 7,714.26 : x
  2. Step 2: Convert to fraction form
    18,804.42/28,202.00 = 7,714.26/x
  3. Step 3: Cross multiply
    18,804.42x = 28,202.00 × 7,714.26
  4. Step 4: Simplify right side
    18,804.42x = 217,557,521.95
  5. Step 5: Solve for x
    x = 217,557,521.95/18,804.42
  6. Step 6: Final answer
    x = 11,569.49

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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.