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Finding the Fourth Proportional to 12,732.51, 17,570.34 and 7,066.83

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Solution

The fourth proportional to 12,732.51, 17,570.34 and 7,066.83 is: 9,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.51 : 17,570.34 = 7,066.83 : x
  2. Step 2: Convert to fraction form
    12,732.51/17,570.34 = 7,066.83/x
  3. Step 3: Cross multiply
    12,732.51x = 17,570.34 × 7,066.83
  4. Step 4: Simplify right side
    12,732.51x = 124,166,605.82
  5. Step 5: Solve for x
    x = 124,166,605.82/12,732.51
  6. Step 6: Final answer
    x = 9,751.93

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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.