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Finding the Fourth Proportional to 13,907.07, 19,191.78 and 7,533.68

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Solution

The fourth proportional to 13,907.07, 19,191.78 and 7,533.68 is: 10,396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.07 : 19,191.78 = 7,533.68 : x
  2. Step 2: Convert to fraction form
    13,907.07/19,191.78 = 7,533.68/x
  3. Step 3: Cross multiply
    13,907.07x = 19,191.78 × 7,533.68
  4. Step 4: Simplify right side
    13,907.07x = 144,584,729.15
  5. Step 5: Solve for x
    x = 144,584,729.15/13,907.07
  6. Step 6: Final answer
    x = 10,396.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.