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Finding the Fourth Proportional to 13,785.26, 19,016.64 and 9,008

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Solution

The fourth proportional to 13,785.26, 19,016.64 and 9,008 is: 12,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.26 : 19,016.64 = 9,008 : x
  2. Step 2: Convert to fraction form
    13,785.26/19,016.64 = 9,008/x
  3. Step 3: Cross multiply
    13,785.26x = 19,016.64 × 9,008
  4. Step 4: Simplify right side
    13,785.26x = 171,301,893.12
  5. Step 5: Solve for x
    x = 171,301,893.12/13,785.26
  6. Step 6: Final answer
    x = 12,426.45

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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.