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Finding the Fourth Proportional to 13,482.46, 18,603.56 and 7,512.78

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Solution

The fourth proportional to 13,482.46, 18,603.56 and 7,512.78 is: 10,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,482.46 : 18,603.56 = 7,512.78 : x
  2. Step 2: Convert to fraction form
    13,482.46/18,603.56 = 7,512.78/x
  3. Step 3: Cross multiply
    13,482.46x = 18,603.56 × 7,512.78
  4. Step 4: Simplify right side
    13,482.46x = 139,764,453.50
  5. Step 5: Solve for x
    x = 139,764,453.50/13,482.46
  6. Step 6: Final answer
    x = 10,366.39

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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.