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Finding the Fourth Proportional to 13,490.18, 18,615.96 and 7,825.04

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Solution

The fourth proportional to 13,490.18, 18,615.96 and 7,825.04 is: 10,798.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.18 : 18,615.96 = 7,825.04 : x
  2. Step 2: Convert to fraction form
    13,490.18/18,615.96 = 7,825.04/x
  3. Step 3: Cross multiply
    13,490.18x = 18,615.96 × 7,825.04
  4. Step 4: Simplify right side
    13,490.18x = 145,670,631.64
  5. Step 5: Solve for x
    x = 145,670,631.64/13,490.18
  6. Step 6: Final answer
    x = 10,798.27

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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.