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Finding the Fourth Proportional to 12,804.24, 17,670.06 and 7,138.84

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Solution

The fourth proportional to 12,804.24, 17,670.06 and 7,138.84 is: 9,851.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.24 : 17,670.06 = 7,138.84 : x
  2. Step 2: Convert to fraction form
    12,804.24/17,670.06 = 7,138.84/x
  3. Step 3: Cross multiply
    12,804.24x = 17,670.06 × 7,138.84
  4. Step 4: Simplify right side
    12,804.24x = 126,143,731.13
  5. Step 5: Solve for x
    x = 126,143,731.13/12,804.24
  6. Step 6: Final answer
    x = 9,851.72

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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.