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Finding the Fourth Proportional to 13,562.34, 18,715.13 and 7,593

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Solution

The fourth proportional to 13,562.34, 18,715.13 and 7,593 is: 10,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.34 : 18,715.13 = 7,593 : x
  2. Step 2: Convert to fraction form
    13,562.34/18,715.13 = 7,593/x
  3. Step 3: Cross multiply
    13,562.34x = 18,715.13 × 7,593
  4. Step 4: Simplify right side
    13,562.34x = 142,103,944.13
  5. Step 5: Solve for x
    x = 142,103,944.13/13,562.34
  6. Step 6: Final answer
    x = 10,477.83

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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.