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Finding the Fourth Proportional to 12,804.46, 17,674.14 and 7,497.34

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Solution

The fourth proportional to 12,804.46, 17,674.14 and 7,497.34 is: 10,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.46 : 17,674.14 = 7,497.34 : x
  2. Step 2: Convert to fraction form
    12,804.46/17,674.14 = 7,497.34/x
  3. Step 3: Cross multiply
    12,804.46x = 17,674.14 × 7,497.34
  4. Step 4: Simplify right side
    12,804.46x = 132,509,036.79
  5. Step 5: Solve for x
    x = 132,509,036.79/12,804.46
  6. Step 6: Final answer
    x = 10,348.66

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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.