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Finding the Fourth Proportional to 12,732.12, 17,568.90 and 7,066.98

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Solution

The fourth proportional to 12,732.12, 17,568.90 and 7,066.98 is: 9,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.12 : 17,568.90 = 7,066.98 : x
  2. Step 2: Convert to fraction form
    12,732.12/17,568.90 = 7,066.98/x
  3. Step 3: Cross multiply
    12,732.12x = 17,568.90 × 7,066.98
  4. Step 4: Simplify right side
    12,732.12x = 124,159,064.92
  5. Step 5: Solve for x
    x = 124,159,064.92/12,732.12
  6. Step 6: Final answer
    x = 9,751.64

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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.