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Finding the Fourth Proportional to 11,572.94, 17,352.73 and 10,189.06

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Solution

The fourth proportional to 11,572.94, 17,352.73 and 10,189.06 is: 15,277.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.94 : 17,352.73 = 10,189.06 : x
  2. Step 2: Convert to fraction form
    11,572.94/17,352.73 = 10,189.06/x
  3. Step 3: Cross multiply
    11,572.94x = 17,352.73 × 10,189.06
  4. Step 4: Simplify right side
    11,572.94x = 176,807,976.49
  5. Step 5: Solve for x
    x = 176,807,976.49/11,572.94
  6. Step 6: Final answer
    x = 15,277.70

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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.