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Finding the Fourth Proportional to 18,357.84, 27,537.03 and 5,210.24

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Solution

The fourth proportional to 18,357.84, 27,537.03 and 5,210.24 is: 7,815.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.84 : 27,537.03 = 5,210.24 : x
  2. Step 2: Convert to fraction form
    18,357.84/27,537.03 = 5,210.24/x
  3. Step 3: Cross multiply
    18,357.84x = 27,537.03 × 5,210.24
  4. Step 4: Simplify right side
    18,357.84x = 143,474,397.50
  5. Step 5: Solve for x
    x = 143,474,397.50/18,357.84
  6. Step 6: Final answer
    x = 7,815.43

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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.