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Finding the Fourth Proportional to 12,731.65, 17,569.41 and 7,066.07

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Solution

The fourth proportional to 12,731.65, 17,569.41 and 7,066.07 is: 9,751.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,731.65 : 17,569.41 = 7,066.07 : x
  2. Step 2: Convert to fraction form
    12,731.65/17,569.41 = 7,066.07/x
  3. Step 3: Cross multiply
    12,731.65x = 17,569.41 × 7,066.07
  4. Step 4: Simplify right side
    12,731.65x = 124,146,593.07
  5. Step 5: Solve for x
    x = 124,146,593.07/12,731.65
  6. Step 6: Final answer
    x = 9,751.02

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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.