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Finding the Fourth Proportional to 13,773.64, 19,006.82 and 7,485.96

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Solution

The fourth proportional to 13,773.64, 19,006.82 and 7,485.96 is: 10,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.64 : 19,006.82 = 7,485.96 : x
  2. Step 2: Convert to fraction form
    13,773.64/19,006.82 = 7,485.96/x
  3. Step 3: Cross multiply
    13,773.64x = 19,006.82 × 7,485.96
  4. Step 4: Simplify right side
    13,773.64x = 142,284,294.25
  5. Step 5: Solve for x
    x = 142,284,294.25/13,773.64
  6. Step 6: Final answer
    x = 10,330.19

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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.