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Finding the Fourth Proportional to 13,944, 19,242.72 and 7,656.78

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Solution

The fourth proportional to 13,944, 19,242.72 and 7,656.78 is: 10,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,944 : 19,242.72 = 7,656.78 : x
  2. Step 2: Convert to fraction form
    13,944/19,242.72 = 7,656.78/x
  3. Step 3: Cross multiply
    13,944x = 19,242.72 × 7,656.78
  4. Step 4: Simplify right side
    13,944x = 147,337,273.64
  5. Step 5: Solve for x
    x = 147,337,273.64/13,944
  6. Step 6: Final answer
    x = 10,566.36

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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.