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Finding the Fourth Proportional to 13,773.12, 19,006.96 and 7,485.60

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Solution

The fourth proportional to 13,773.12, 19,006.96 and 7,485.60 is: 10,330.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.12 : 19,006.96 = 7,485.60 : x
  2. Step 2: Convert to fraction form
    13,773.12/19,006.96 = 7,485.60/x
  3. Step 3: Cross multiply
    13,773.12x = 19,006.96 × 7,485.60
  4. Step 4: Simplify right side
    13,773.12x = 142,278,499.78
  5. Step 5: Solve for x
    x = 142,278,499.78/13,773.12
  6. Step 6: Final answer
    x = 10,330.16

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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.