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Finding the Fourth Proportional to 12,798.96, 17,662.48 and 7,133.76

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Solution

The fourth proportional to 12,798.96, 17,662.48 and 7,133.76 is: 9,844.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,798.96 : 17,662.48 = 7,133.76 : x
  2. Step 2: Convert to fraction form
    12,798.96/17,662.48 = 7,133.76/x
  3. Step 3: Cross multiply
    12,798.96x = 17,662.48 × 7,133.76
  4. Step 4: Simplify right side
    12,798.96x = 125,999,893.32
  5. Step 5: Solve for x
    x = 125,999,893.32/12,798.96
  6. Step 6: Final answer
    x = 9,844.54

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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.