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Finding the Fourth Proportional to 10,109.80, 15,164.70 and 9,453.70

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Solution

The fourth proportional to 10,109.80, 15,164.70 and 9,453.70 is: 14,180.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.80 : 15,164.70 = 9,453.70 : x
  2. Step 2: Convert to fraction form
    10,109.80/15,164.70 = 9,453.70/x
  3. Step 3: Cross multiply
    10,109.80x = 15,164.70 × 9,453.70
  4. Step 4: Simplify right side
    10,109.80x = 143,362,524.39
  5. Step 5: Solve for x
    x = 143,362,524.39/10,109.80
  6. Step 6: Final answer
    x = 14,180.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.