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Finding the Fourth Proportional to 10,180.69, 15,201.40 and 9,119.65

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Solution

The fourth proportional to 10,180.69, 15,201.40 and 9,119.65 is: 13,617.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180.69 : 15,201.40 = 9,119.65 : x
  2. Step 2: Convert to fraction form
    10,180.69/15,201.40 = 9,119.65/x
  3. Step 3: Cross multiply
    10,180.69x = 15,201.40 × 9,119.65
  4. Step 4: Simplify right side
    10,180.69x = 138,631,485.51
  5. Step 5: Solve for x
    x = 138,631,485.51/10,180.69
  6. Step 6: Final answer
    x = 13,617.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.