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Finding the Fourth Proportional to 13,849.61, 19,112.78 and 7,562.03

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Solution

The fourth proportional to 13,849.61, 19,112.78 and 7,562.03 is: 10,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,849.61 : 19,112.78 = 7,562.03 : x
  2. Step 2: Convert to fraction form
    13,849.61/19,112.78 = 7,562.03/x
  3. Step 3: Cross multiply
    13,849.61x = 19,112.78 × 7,562.03
  4. Step 4: Simplify right side
    13,849.61x = 144,531,415.74
  5. Step 5: Solve for x
    x = 144,531,415.74/13,849.61
  6. Step 6: Final answer
    x = 10,435.78

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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.