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Finding the Fourth Proportional to 19,141.69, 28,670.97 and 9,260.24

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Solution

The fourth proportional to 19,141.69, 28,670.97 and 9,260.24 is: 13,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,141.69 : 28,670.97 = 9,260.24 : x
  2. Step 2: Convert to fraction form
    19,141.69/28,670.97 = 9,260.24/x
  3. Step 3: Cross multiply
    19,141.69x = 28,670.97 × 9,260.24
  4. Step 4: Simplify right side
    19,141.69x = 265,500,134.91
  5. Step 5: Solve for x
    x = 265,500,134.91/19,141.69
  6. Step 6: Final answer
    x = 13,870.26

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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.