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Finding the Fourth Proportional to 13,496.02, 18,619.48 and 7,827.59

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Solution

The fourth proportional to 13,496.02, 18,619.48 and 7,827.59 is: 10,799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.02 : 18,619.48 = 7,827.59 : x
  2. Step 2: Convert to fraction form
    13,496.02/18,619.48 = 7,827.59/x
  3. Step 3: Cross multiply
    13,496.02x = 18,619.48 × 7,827.59
  4. Step 4: Simplify right side
    13,496.02x = 145,745,572.14
  5. Step 5: Solve for x
    x = 145,745,572.14/13,496.02
  6. Step 6: Final answer
    x = 10,799.16

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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.