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Finding the Fourth Proportional to 12,709.30, 17,538.96 and 7,044.17

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Solution

The fourth proportional to 12,709.30, 17,538.96 and 7,044.17 is: 9,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.30 : 17,538.96 = 7,044.17 : x
  2. Step 2: Convert to fraction form
    12,709.30/17,538.96 = 7,044.17/x
  3. Step 3: Cross multiply
    12,709.30x = 17,538.96 × 7,044.17
  4. Step 4: Simplify right side
    12,709.30x = 123,547,380.64
  5. Step 5: Solve for x
    x = 123,547,380.64/12,709.30
  6. Step 6: Final answer
    x = 9,721.03

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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.