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Finding the Fourth Proportional to 13,490.52, 18,619.36 and 7,828.88

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Solution

The fourth proportional to 13,490.52, 18,619.36 and 7,828.88 is: 10,805.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.52 : 18,619.36 = 7,828.88 : x
  2. Step 2: Convert to fraction form
    13,490.52/18,619.36 = 7,828.88/x
  3. Step 3: Cross multiply
    13,490.52x = 18,619.36 × 7,828.88
  4. Step 4: Simplify right side
    13,490.52x = 145,768,735.12
  5. Step 5: Solve for x
    x = 145,768,735.12/13,490.52
  6. Step 6: Final answer
    x = 10,805.27

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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.