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Finding the Fourth Proportional to 13,563.72, 18,716.86 and 7,594

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Solution

The fourth proportional to 13,563.72, 18,716.86 and 7,594 is: 10,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.72 : 18,716.86 = 7,594 : x
  2. Step 2: Convert to fraction form
    13,563.72/18,716.86 = 7,594/x
  3. Step 3: Cross multiply
    13,563.72x = 18,716.86 × 7,594
  4. Step 4: Simplify right side
    13,563.72x = 142,135,834.84
  5. Step 5: Solve for x
    x = 142,135,834.84/13,563.72
  6. Step 6: Final answer
    x = 10,479.12

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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.